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Finding the Fourth Proportional to 25,902.85, 38,854.28 and 7,187.60

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Solution

The fourth proportional to 25,902.85, 38,854.28 and 7,187.60 is: 10,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,902.85 : 38,854.28 = 7,187.60 : x
  2. Step 2: Convert to fraction form
    25,902.85/38,854.28 = 7,187.60/x
  3. Step 3: Cross multiply
    25,902.85x = 38,854.28 × 7,187.60
  4. Step 4: Simplify right side
    25,902.85x = 279,268,792.72
  5. Step 5: Solve for x
    x = 279,268,792.72/25,902.85
  6. Step 6: Final answer
    x = 10,781.39

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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.