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Finding the Fourth Proportional to 14,772.97, 20,391.29 and 9,109.50

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Solution

The fourth proportional to 14,772.97, 20,391.29 and 9,109.50 is: 12,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.97 : 20,391.29 = 9,109.50 : x
  2. Step 2: Convert to fraction form
    14,772.97/20,391.29 = 9,109.50/x
  3. Step 3: Cross multiply
    14,772.97x = 20,391.29 × 9,109.50
  4. Step 4: Simplify right side
    14,772.97x = 185,754,456.26
  5. Step 5: Solve for x
    x = 185,754,456.26/14,772.97
  6. Step 6: Final answer
    x = 12,573.94

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