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Finding the Fourth Proportional to 16,498.80, 24,732 and 7,729.20

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Solution

The fourth proportional to 16,498.80, 24,732 and 7,729.20 is: 11,586.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,498.80 : 24,732 = 7,729.20 : x
  2. Step 2: Convert to fraction form
    16,498.80/24,732 = 7,729.20/x
  3. Step 3: Cross multiply
    16,498.80x = 24,732 × 7,729.20
  4. Step 4: Simplify right side
    16,498.80x = 191,158,574.40
  5. Step 5: Solve for x
    x = 191,158,574.40/16,498.80
  6. Step 6: Final answer
    x = 11,586.21

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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.