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Finding the Fourth Proportional to 13,134.75, 19,702.14 and 3,900.75

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Solution

The fourth proportional to 13,134.75, 19,702.14 and 3,900.75 is: 5,851.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.75 : 19,702.14 = 3,900.75 : x
  2. Step 2: Convert to fraction form
    13,134.75/19,702.14 = 3,900.75/x
  3. Step 3: Cross multiply
    13,134.75x = 19,702.14 × 3,900.75
  4. Step 4: Simplify right side
    13,134.75x = 76,853,122.61
  5. Step 5: Solve for x
    x = 76,853,122.61/13,134.75
  6. Step 6: Final answer
    x = 5,851.13

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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.