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Finding the Fourth Proportional to 25,854.88, 38,792.88 and 9,218.08

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Solution

The fourth proportional to 25,854.88, 38,792.88 and 9,218.08 is: 13,830.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,854.88 : 38,792.88 = 9,218.08 : x
  2. Step 2: Convert to fraction form
    25,854.88/38,792.88 = 9,218.08/x
  3. Step 3: Cross multiply
    25,854.88x = 38,792.88 × 9,218.08
  4. Step 4: Simplify right side
    25,854.88x = 357,595,871.27
  5. Step 5: Solve for x
    x = 357,595,871.27/25,854.88
  6. Step 6: Final answer
    x = 13,830.88

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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.