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Finding the Fourth Proportional to 17,782,999.92, 24,540,580.98 and 9,942,791.58

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Solution

The fourth proportional to 17,782,999.92, 24,540,580.98 and 9,942,791.58 is: 13,721,075.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,782,999.92 : 24,540,580.98 = 9,942,791.58 : x
  2. Step 2: Convert to fraction form
    17,782,999.92/24,540,580.98 = 9,942,791.58/x
  3. Step 3: Cross multiply
    17,782,999.92x = 24,540,580.98 × 9,942,791.58
  4. Step 4: Simplify right side
    17,782,999.92x = 244,001,881,936,252.16
  5. Step 5: Solve for x
    x = 244,001,881,936,252.16/17,782,999.92
  6. Step 6: Final answer
    x = 13,721,075.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.