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Finding the Fourth Proportional to 15,006.42, 22,480.38 and 9,796.50

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Solution

The fourth proportional to 15,006.42, 22,480.38 and 9,796.50 is: 14,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,006.42 : 22,480.38 = 9,796.50 : x
  2. Step 2: Convert to fraction form
    15,006.42/22,480.38 = 9,796.50/x
  3. Step 3: Cross multiply
    15,006.42x = 22,480.38 × 9,796.50
  4. Step 4: Simplify right side
    15,006.42x = 220,229,042.67
  5. Step 5: Solve for x
    x = 220,229,042.67/15,006.42
  6. Step 6: Final answer
    x = 14,675.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.