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Finding the Fourth Proportional to 16,153.81, 24,233.97 and 5,765.29

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Solution

The fourth proportional to 16,153.81, 24,233.97 and 5,765.29 is: 8,649.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,153.81 : 24,233.97 = 5,765.29 : x
  2. Step 2: Convert to fraction form
    16,153.81/24,233.97 = 5,765.29/x
  3. Step 3: Cross multiply
    16,153.81x = 24,233.97 × 5,765.29
  4. Step 4: Simplify right side
    16,153.81x = 139,715,864.90
  5. Step 5: Solve for x
    x = 139,715,864.90/16,153.81
  6. Step 6: Final answer
    x = 8,649.10

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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.