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Finding the Fourth Proportional to 15,122.83, 22,688.85 and 7,732.48

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Solution

The fourth proportional to 15,122.83, 22,688.85 and 7,732.48 is: 11,601.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,122.83 : 22,688.85 = 7,732.48 : x
  2. Step 2: Convert to fraction form
    15,122.83/22,688.85 = 7,732.48/x
  3. Step 3: Cross multiply
    15,122.83x = 22,688.85 × 7,732.48
  4. Step 4: Simplify right side
    15,122.83x = 175,441,078.85
  5. Step 5: Solve for x
    x = 175,441,078.85/15,122.83
  6. Step 6: Final answer
    x = 11,601.07

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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.