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Finding the Fourth Proportional to 16,498.16, 24,744.04 and 7,737.20

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Solution

The fourth proportional to 16,498.16, 24,744.04 and 7,737.20 is: 11,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.16 : 24,744.04 = 7,737.20 : x
  2. Step 2: Convert to fraction form
    16,498.16/24,744.04 = 7,737.20/x
  3. Step 3: Cross multiply
    16,498.16x = 24,744.04 × 7,737.20
  4. Step 4: Simplify right side
    16,498.16x = 191,449,586.29
  5. Step 5: Solve for x
    x = 191,449,586.29/16,498.16
  6. Step 6: Final answer
    x = 11,604.30

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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.