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Finding the Fourth Proportional to 14,551.40, 21,772.14 and 8,909

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Solution

The fourth proportional to 14,551.40, 21,772.14 and 8,909 is: 13,329.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,551.40 : 21,772.14 = 8,909 : x
  2. Step 2: Convert to fraction form
    14,551.40/21,772.14 = 8,909/x
  3. Step 3: Cross multiply
    14,551.40x = 21,772.14 × 8,909
  4. Step 4: Simplify right side
    14,551.40x = 193,967,995.26
  5. Step 5: Solve for x
    x = 193,967,995.26/14,551.40
  6. Step 6: Final answer
    x = 13,329.85

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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.