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Finding the Fourth Proportional to 10,200.52, 15,313.74 and 8,671.24

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Solution

The fourth proportional to 10,200.52, 15,313.74 and 8,671.24 is: 13,017.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.52 : 15,313.74 = 8,671.24 : x
  2. Step 2: Convert to fraction form
    10,200.52/15,313.74 = 8,671.24/x
  3. Step 3: Cross multiply
    10,200.52x = 15,313.74 × 8,671.24
  4. Step 4: Simplify right side
    10,200.52x = 132,789,114.84
  5. Step 5: Solve for x
    x = 132,789,114.84/10,200.52
  6. Step 6: Final answer
    x = 13,017.88

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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.