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Finding the Fourth Proportional to 25,252.12, 37,854 and 9,452.86

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Solution

The fourth proportional to 25,252.12, 37,854 and 9,452.86 is: 14,170.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,252.12 : 37,854 = 9,452.86 : x
  2. Step 2: Convert to fraction form
    25,252.12/37,854 = 9,452.86/x
  3. Step 3: Cross multiply
    25,252.12x = 37,854 × 9,452.86
  4. Step 4: Simplify right side
    25,252.12x = 357,828,562.44
  5. Step 5: Solve for x
    x = 357,828,562.44/25,252.12
  6. Step 6: Final answer
    x = 14,170.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.