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Finding the Fourth Proportional to 25,661.70, 38,438.52 and 13,143.68

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Solution

The fourth proportional to 25,661.70, 38,438.52 and 13,143.68 is: 19,687.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,661.70 : 38,438.52 = 13,143.68 : x
  2. Step 2: Convert to fraction form
    25,661.70/38,438.52 = 13,143.68/x
  3. Step 3: Cross multiply
    25,661.70x = 38,438.52 × 13,143.68
  4. Step 4: Simplify right side
    25,661.70x = 505,223,606.55
  5. Step 5: Solve for x
    x = 505,223,606.55/25,661.70
  6. Step 6: Final answer
    x = 19,687.85

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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.