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Finding the Fourth Proportional to 25,854.76, 38,777.91 and 9,212.32

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Solution

The fourth proportional to 25,854.76, 38,777.91 and 9,212.32 is: 13,816.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.76 : 38,777.91 = 9,212.32 : x
  2. Step 2: Convert to fraction form
    25,854.76/38,777.91 = 9,212.32/x
  3. Step 3: Cross multiply
    25,854.76x = 38,777.91 × 9,212.32
  4. Step 4: Simplify right side
    25,854.76x = 357,234,515.85
  5. Step 5: Solve for x
    x = 357,234,515.85/25,854.76
  6. Step 6: Final answer
    x = 13,816.97

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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.