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Finding the Fourth Proportional to 16,502.67, 24,761.70 and 9,839.03

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Solution

The fourth proportional to 16,502.67, 24,761.70 and 9,839.03 is: 14,763.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502.67 : 24,761.70 = 9,839.03 : x
  2. Step 2: Convert to fraction form
    16,502.67/24,761.70 = 9,839.03/x
  3. Step 3: Cross multiply
    16,502.67x = 24,761.70 × 9,839.03
  4. Step 4: Simplify right side
    16,502.67x = 243,630,985.34
  5. Step 5: Solve for x
    x = 243,630,985.34/16,502.67
  6. Step 6: Final answer
    x = 14,763.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.