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Finding the Fourth Proportional to 42,472.24, 63,708.12 and 14,770

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Solution

The fourth proportional to 42,472.24, 63,708.12 and 14,770 is: 22,154.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,472.24 : 63,708.12 = 14,770 : x
  2. Step 2: Convert to fraction form
    42,472.24/63,708.12 = 14,770/x
  3. Step 3: Cross multiply
    42,472.24x = 63,708.12 × 14,770
  4. Step 4: Simplify right side
    42,472.24x = 940,968,932.40
  5. Step 5: Solve for x
    x = 940,968,932.40/42,472.24
  6. Step 6: Final answer
    x = 22,154.92

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