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Finding the Fourth Proportional to 24,973.18, 34,461.46 and 13,640.38

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Solution

The fourth proportional to 24,973.18, 34,461.46 and 13,640.38 is: 18,822.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,973.18 : 34,461.46 = 13,640.38 : x
  2. Step 2: Convert to fraction form
    24,973.18/34,461.46 = 13,640.38/x
  3. Step 3: Cross multiply
    24,973.18x = 34,461.46 × 13,640.38
  4. Step 4: Simplify right side
    24,973.18x = 470,067,409.75
  5. Step 5: Solve for x
    x = 470,067,409.75/24,973.18
  6. Step 6: Final answer
    x = 18,822.89

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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.