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Finding the Fourth Proportional to 25,150.50, 37,725.75 and 9,568.13

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Solution

The fourth proportional to 25,150.50, 37,725.75 and 9,568.13 is: 14,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,150.50 : 37,725.75 = 9,568.13 : x
  2. Step 2: Convert to fraction form
    25,150.50/37,725.75 = 9,568.13/x
  3. Step 3: Cross multiply
    25,150.50x = 37,725.75 × 9,568.13
  4. Step 4: Simplify right side
    25,150.50x = 360,964,691.72
  5. Step 5: Solve for x
    x = 360,964,691.72/25,150.50
  6. Step 6: Final answer
    x = 14,352.19

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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.