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Finding the Fourth Proportional to 10,232.10, 15,325.47 and 8,275.14

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Solution

The fourth proportional to 10,232.10, 15,325.47 and 8,275.14 is: 12,394.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.10 : 15,325.47 = 8,275.14 : x
  2. Step 2: Convert to fraction form
    10,232.10/15,325.47 = 8,275.14/x
  3. Step 3: Cross multiply
    10,232.10x = 15,325.47 × 8,275.14
  4. Step 4: Simplify right side
    10,232.10x = 126,820,409.82
  5. Step 5: Solve for x
    x = 126,820,409.82/10,232.10
  6. Step 6: Final answer
    x = 12,394.37

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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.