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Finding the Fourth Proportional to 25,214.38, 37,821.54 and 7,445.28

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Solution

The fourth proportional to 25,214.38, 37,821.54 and 7,445.28 is: 11,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,214.38 : 37,821.54 = 7,445.28 : x
  2. Step 2: Convert to fraction form
    25,214.38/37,821.54 = 7,445.28/x
  3. Step 3: Cross multiply
    25,214.38x = 37,821.54 × 7,445.28
  4. Step 4: Simplify right side
    25,214.38x = 281,591,860.78
  5. Step 5: Solve for x
    x = 281,591,860.78/25,214.38
  6. Step 6: Final answer
    x = 11,167.91

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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.