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Finding the Fourth Proportional to 12,720.53, 19,084.24 and 6,146.70

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Solution

The fourth proportional to 12,720.53, 19,084.24 and 6,146.70 is: 9,221.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,720.53 : 19,084.24 = 6,146.70 : x
  2. Step 2: Convert to fraction form
    12,720.53/19,084.24 = 6,146.70/x
  3. Step 3: Cross multiply
    12,720.53x = 19,084.24 × 6,146.70
  4. Step 4: Simplify right side
    12,720.53x = 117,305,098.01
  5. Step 5: Solve for x
    x = 117,305,098.01/12,720.53
  6. Step 6: Final answer
    x = 9,221.72

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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.