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Finding the Fourth Proportional to 25,709.87, 38,538.65 and 11,679.90

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Solution

The fourth proportional to 25,709.87, 38,538.65 and 11,679.90 is: 17,507.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,709.87 : 38,538.65 = 11,679.90 : x
  2. Step 2: Convert to fraction form
    25,709.87/38,538.65 = 11,679.90/x
  3. Step 3: Cross multiply
    25,709.87x = 38,538.65 × 11,679.90
  4. Step 4: Simplify right side
    25,709.87x = 450,127,462.81
  5. Step 5: Solve for x
    x = 450,127,462.81/25,709.87
  6. Step 6: Final answer
    x = 17,507.96

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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.