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Finding the Fourth Proportional to 25,854.66, 38,771.01 and 9,218.88

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Solution

The fourth proportional to 25,854.66, 38,771.01 and 9,218.88 is: 13,824.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.66 : 38,771.01 = 9,218.88 : x
  2. Step 2: Convert to fraction form
    25,854.66/38,771.01 = 9,218.88/x
  3. Step 3: Cross multiply
    25,854.66x = 38,771.01 × 9,218.88
  4. Step 4: Simplify right side
    25,854.66x = 357,425,288.67
  5. Step 5: Solve for x
    x = 357,425,288.67/25,854.66
  6. Step 6: Final answer
    x = 13,824.40

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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.