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Finding the Fourth Proportional to 25,603.20, 38,378.97 and 10,589.60

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Solution

The fourth proportional to 25,603.20, 38,378.97 and 10,589.60 is: 15,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,603.20 : 38,378.97 = 10,589.60 : x
  2. Step 2: Convert to fraction form
    25,603.20/38,378.97 = 10,589.60/x
  3. Step 3: Cross multiply
    25,603.20x = 38,378.97 × 10,589.60
  4. Step 4: Simplify right side
    25,603.20x = 406,417,748.82
  5. Step 5: Solve for x
    x = 406,417,748.82/25,603.20
  6. Step 6: Final answer
    x = 15,873.71

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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.