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Finding the Fourth Proportional to 25,777.25, 35,572 and 15,167.57

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Solution

The fourth proportional to 25,777.25, 35,572 and 15,167.57 is: 20,930.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,777.25 : 35,572 = 15,167.57 : x
  2. Step 2: Convert to fraction form
    25,777.25/35,572 = 15,167.57/x
  3. Step 3: Cross multiply
    25,777.25x = 35,572 × 15,167.57
  4. Step 4: Simplify right side
    25,777.25x = 539,540,800.04
  5. Step 5: Solve for x
    x = 539,540,800.04/25,777.25
  6. Step 6: Final answer
    x = 20,930.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.