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Finding the Fourth Proportional to 25,100.57, 37,643.16 and 8,456.13

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Solution

The fourth proportional to 25,100.57, 37,643.16 and 8,456.13 is: 12,681.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,100.57 : 37,643.16 = 8,456.13 : x
  2. Step 2: Convert to fraction form
    25,100.57/37,643.16 = 8,456.13/x
  3. Step 3: Cross multiply
    25,100.57x = 37,643.16 × 8,456.13
  4. Step 4: Simplify right side
    25,100.57x = 318,315,454.57
  5. Step 5: Solve for x
    x = 318,315,454.57/25,100.57
  6. Step 6: Final answer
    x = 12,681.61

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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.