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Finding the Fourth Proportional to 10,014.30, 15,036.74 and 8,474.49

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Solution

The fourth proportional to 10,014.30, 15,036.74 and 8,474.49 is: 12,724.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,014.30 : 15,036.74 = 8,474.49 : x
  2. Step 2: Convert to fraction form
    10,014.30/15,036.74 = 8,474.49/x
  3. Step 3: Cross multiply
    10,014.30x = 15,036.74 × 8,474.49
  4. Step 4: Simplify right side
    10,014.30x = 127,428,761.54
  5. Step 5: Solve for x
    x = 127,428,761.54/10,014.30
  6. Step 6: Final answer
    x = 12,724.68

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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.