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Finding the Fourth Proportional to 16,301.10, 24,473.52 and 9,649.89

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Solution

The fourth proportional to 16,301.10, 24,473.52 and 9,649.89 is: 14,487.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,301.10 : 24,473.52 = 9,649.89 : x
  2. Step 2: Convert to fraction form
    16,301.10/24,473.52 = 9,649.89/x
  3. Step 3: Cross multiply
    16,301.10x = 24,473.52 × 9,649.89
  4. Step 4: Simplify right side
    16,301.10x = 236,166,812.10
  5. Step 5: Solve for x
    x = 236,166,812.10/16,301.10
  6. Step 6: Final answer
    x = 14,487.78

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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.