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Finding the Fourth Proportional to 16,501.20, 24,747.98 and 9,839.58

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Solution

The fourth proportional to 16,501.20, 24,747.98 and 9,839.58 is: 14,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,501.20 : 24,747.98 = 9,839.58 : x
  2. Step 2: Convert to fraction form
    16,501.20/24,747.98 = 9,839.58/x
  3. Step 3: Cross multiply
    16,501.20x = 24,747.98 × 9,839.58
  4. Step 4: Simplify right side
    16,501.20x = 243,509,679.85
  5. Step 5: Solve for x
    x = 243,509,679.85/16,501.20
  6. Step 6: Final answer
    x = 14,757.09

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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.