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Finding the Fourth Proportional to 25,572.83, 38,259 and 16,824.83

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Solution

The fourth proportional to 25,572.83, 38,259 and 16,824.83 is: 25,171.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,572.83 : 38,259 = 16,824.83 : x
  2. Step 2: Convert to fraction form
    25,572.83/38,259 = 16,824.83/x
  3. Step 3: Cross multiply
    25,572.83x = 38,259 × 16,824.83
  4. Step 4: Simplify right side
    25,572.83x = 643,700,979.68
  5. Step 5: Solve for x
    x = 643,700,979.68/25,572.83
  6. Step 6: Final answer
    x = 25,171.29

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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.