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Finding the Fourth Proportional to 16,024.16, 24,039.01 and 7,142.65

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Solution

The fourth proportional to 16,024.16, 24,039.01 and 7,142.65 is: 10,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,024.16 : 24,039.01 = 7,142.65 : x
  2. Step 2: Convert to fraction form
    16,024.16/24,039.01 = 7,142.65/x
  3. Step 3: Cross multiply
    16,024.16x = 24,039.01 × 7,142.65
  4. Step 4: Simplify right side
    16,024.16x = 171,702,234.78
  5. Step 5: Solve for x
    x = 171,702,234.78/16,024.16
  6. Step 6: Final answer
    x = 10,715.21

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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.