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Finding the Fourth Proportional to 15,532.16, 23,285.07 and 6,760.40

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Solution

The fourth proportional to 15,532.16, 23,285.07 and 6,760.40 is: 10,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,532.16 : 23,285.07 = 6,760.40 : x
  2. Step 2: Convert to fraction form
    15,532.16/23,285.07 = 6,760.40/x
  3. Step 3: Cross multiply
    15,532.16x = 23,285.07 × 6,760.40
  4. Step 4: Simplify right side
    15,532.16x = 157,416,270.80
  5. Step 5: Solve for x
    x = 157,416,270.80/15,532.16
  6. Step 6: Final answer
    x = 10,134.86

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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.