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Finding the Fourth Proportional to 16,254.85, 24,385.68 and 9,238.12

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Solution

The fourth proportional to 16,254.85, 24,385.68 and 9,238.12 is: 13,859.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.85 : 24,385.68 = 9,238.12 : x
  2. Step 2: Convert to fraction form
    16,254.85/24,385.68 = 9,238.12/x
  3. Step 3: Cross multiply
    16,254.85x = 24,385.68 × 9,238.12
  4. Step 4: Simplify right side
    16,254.85x = 225,277,838.12
  5. Step 5: Solve for x
    x = 225,277,838.12/16,254.85
  6. Step 6: Final answer
    x = 13,859.12

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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.