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Finding the Fourth Proportional to 15,832.92, 23,757.51 and 7,073.58

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Solution

The fourth proportional to 15,832.92, 23,757.51 and 7,073.58 is: 10,614.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,832.92 : 23,757.51 = 7,073.58 : x
  2. Step 2: Convert to fraction form
    15,832.92/23,757.51 = 7,073.58/x
  3. Step 3: Cross multiply
    15,832.92x = 23,757.51 × 7,073.58
  4. Step 4: Simplify right side
    15,832.92x = 168,050,647.59
  5. Step 5: Solve for x
    x = 168,050,647.59/15,832.92
  6. Step 6: Final answer
    x = 10,614.00

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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.