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Finding the Fourth Proportional to 14,772.29, 20,389.25 and 8,488.31

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Solution

The fourth proportional to 14,772.29, 20,389.25 and 8,488.31 is: 11,715.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,772.29 : 20,389.25 = 8,488.31 : x
  2. Step 2: Convert to fraction form
    14,772.29/20,389.25 = 8,488.31/x
  3. Step 3: Cross multiply
    14,772.29x = 20,389.25 × 8,488.31
  4. Step 4: Simplify right side
    14,772.29x = 173,070,193.94
  5. Step 5: Solve for x
    x = 173,070,193.94/14,772.29
  6. Step 6: Final answer
    x = 11,715.87

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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.