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Finding the Fourth Proportional to 15,920.72, 23,874.92 and 7,035.60

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Solution

The fourth proportional to 15,920.72, 23,874.92 and 7,035.60 is: 10,550.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,920.72 : 23,874.92 = 7,035.60 : x
  2. Step 2: Convert to fraction form
    15,920.72/23,874.92 = 7,035.60/x
  3. Step 3: Cross multiply
    15,920.72x = 23,874.92 × 7,035.60
  4. Step 4: Simplify right side
    15,920.72x = 167,974,387.15
  5. Step 5: Solve for x
    x = 167,974,387.15/15,920.72
  6. Step 6: Final answer
    x = 10,550.68

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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.