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Finding the Fourth Proportional to 14,306.90, 21,472.64 and 12,449.32

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Solution

The fourth proportional to 14,306.90, 21,472.64 and 12,449.32 is: 18,684.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,306.90 : 21,472.64 = 12,449.32 : x
  2. Step 2: Convert to fraction form
    14,306.90/21,472.64 = 12,449.32/x
  3. Step 3: Cross multiply
    14,306.90x = 21,472.64 × 12,449.32
  4. Step 4: Simplify right side
    14,306.90x = 267,319,744.05
  5. Step 5: Solve for x
    x = 267,319,744.05/14,306.90
  6. Step 6: Final answer
    x = 18,684.68

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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.