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Finding the Fourth Proportional to 15,887.46, 23,823.42 and 6,532.11

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Solution

The fourth proportional to 15,887.46, 23,823.42 and 6,532.11 is: 9,794.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,887.46 : 23,823.42 = 6,532.11 : x
  2. Step 2: Convert to fraction form
    15,887.46/23,823.42 = 6,532.11/x
  3. Step 3: Cross multiply
    15,887.46x = 23,823.42 × 6,532.11
  4. Step 4: Simplify right side
    15,887.46x = 155,617,200.02
  5. Step 5: Solve for x
    x = 155,617,200.02/15,887.46
  6. Step 6: Final answer
    x = 9,794.97

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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.