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Finding the Fourth Proportional to 14,966.39, 22,454.15 and 7,074.96

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Solution

The fourth proportional to 14,966.39, 22,454.15 and 7,074.96 is: 10,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,966.39 : 22,454.15 = 7,074.96 : x
  2. Step 2: Convert to fraction form
    14,966.39/22,454.15 = 7,074.96/x
  3. Step 3: Cross multiply
    14,966.39x = 22,454.15 × 7,074.96
  4. Step 4: Simplify right side
    14,966.39x = 158,862,177.71
  5. Step 5: Solve for x
    x = 158,862,177.71/14,966.39
  6. Step 6: Final answer
    x = 10,614.60

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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.