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Finding the Fourth Proportional to 25,474.68, 38,198.01 and 13,642.32

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Solution

The fourth proportional to 25,474.68, 38,198.01 and 13,642.32 is: 20,455.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,474.68 : 38,198.01 = 13,642.32 : x
  2. Step 2: Convert to fraction form
    25,474.68/38,198.01 = 13,642.32/x
  3. Step 3: Cross multiply
    25,474.68x = 38,198.01 × 13,642.32
  4. Step 4: Simplify right side
    25,474.68x = 521,109,555.08
  5. Step 5: Solve for x
    x = 521,109,555.08/25,474.68
  6. Step 6: Final answer
    x = 20,455.98

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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.