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Finding the Fourth Proportional to 24,209.37, 36,304.92 and 9,416.43

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Solution

The fourth proportional to 24,209.37, 36,304.92 and 9,416.43 is: 14,121.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,209.37 : 36,304.92 = 9,416.43 : x
  2. Step 2: Convert to fraction form
    24,209.37/36,304.92 = 9,416.43/x
  3. Step 3: Cross multiply
    24,209.37x = 36,304.92 × 9,416.43
  4. Step 4: Simplify right side
    24,209.37x = 341,862,737.84
  5. Step 5: Solve for x
    x = 341,862,737.84/24,209.37
  6. Step 6: Final answer
    x = 14,121.09

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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.