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Finding the Fourth Proportional to 25,813.59, 38,712.63 and 9,171.43

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Solution

The fourth proportional to 25,813.59, 38,712.63 and 9,171.43 is: 13,754.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,813.59 : 38,712.63 = 9,171.43 : x
  2. Step 2: Convert to fraction form
    25,813.59/38,712.63 = 9,171.43/x
  3. Step 3: Cross multiply
    25,813.59x = 38,712.63 × 9,171.43
  4. Step 4: Simplify right side
    25,813.59x = 355,050,113.77
  5. Step 5: Solve for x
    x = 355,050,113.77/25,813.59
  6. Step 6: Final answer
    x = 13,754.39

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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.