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Finding the Fourth Proportional to 14,439.73, 21,634.95 and 7,854.16

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Solution

The fourth proportional to 14,439.73, 21,634.95 and 7,854.16 is: 11,767.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,439.73 : 21,634.95 = 7,854.16 : x
  2. Step 2: Convert to fraction form
    14,439.73/21,634.95 = 7,854.16/x
  3. Step 3: Cross multiply
    14,439.73x = 21,634.95 × 7,854.16
  4. Step 4: Simplify right side
    14,439.73x = 169,924,358.89
  5. Step 5: Solve for x
    x = 169,924,358.89/14,439.73
  6. Step 6: Final answer
    x = 11,767.83

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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.