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Finding the Fourth Proportional to 25,909.67, 35,758.24 and 14,581.92

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Solution

The fourth proportional to 25,909.67, 35,758.24 and 14,581.92 is: 20,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,909.67 : 35,758.24 = 14,581.92 : x
  2. Step 2: Convert to fraction form
    25,909.67/35,758.24 = 14,581.92/x
  3. Step 3: Cross multiply
    25,909.67x = 35,758.24 × 14,581.92
  4. Step 4: Simplify right side
    25,909.67x = 521,423,795.02
  5. Step 5: Solve for x
    x = 521,423,795.02/25,909.67
  6. Step 6: Final answer
    x = 20,124.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.