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Finding the Fourth Proportional to 16,089.57, 24,115.68 and 9,521.28

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Solution

The fourth proportional to 16,089.57, 24,115.68 and 9,521.28 is: 14,270.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,089.57 : 24,115.68 = 9,521.28 : x
  2. Step 2: Convert to fraction form
    16,089.57/24,115.68 = 9,521.28/x
  3. Step 3: Cross multiply
    16,089.57x = 24,115.68 × 9,521.28
  4. Step 4: Simplify right side
    16,089.57x = 229,612,141.67
  5. Step 5: Solve for x
    x = 229,612,141.67/16,089.57
  6. Step 6: Final answer
    x = 14,270.87

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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.