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Finding the Fourth Proportional to 13,025.68, 19,538.52 and 9,147.40

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Solution

The fourth proportional to 13,025.68, 19,538.52 and 9,147.40 is: 13,721.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,025.68 : 19,538.52 = 9,147.40 : x
  2. Step 2: Convert to fraction form
    13,025.68/19,538.52 = 9,147.40/x
  3. Step 3: Cross multiply
    13,025.68x = 19,538.52 × 9,147.40
  4. Step 4: Simplify right side
    13,025.68x = 178,726,657.85
  5. Step 5: Solve for x
    x = 178,726,657.85/13,025.68
  6. Step 6: Final answer
    x = 13,721.10

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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.