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Finding the Fourth Proportional to 25,511.59, 38,209.68 and 13,644.40

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Solution

The fourth proportional to 25,511.59, 38,209.68 and 13,644.40 is: 20,435.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,511.59 : 38,209.68 = 13,644.40 : x
  2. Step 2: Convert to fraction form
    25,511.59/38,209.68 = 13,644.40/x
  3. Step 3: Cross multiply
    25,511.59x = 38,209.68 × 13,644.40
  4. Step 4: Simplify right side
    25,511.59x = 521,348,157.79
  5. Step 5: Solve for x
    x = 521,348,157.79/25,511.59
  6. Step 6: Final answer
    x = 20,435.74

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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.