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Finding the Fourth Proportional to 25,620.96, 38,381.72 and 16,829.20

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Solution

The fourth proportional to 25,620.96, 38,381.72 and 16,829.20 is: 25,211.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,620.96 : 38,381.72 = 16,829.20 : x
  2. Step 2: Convert to fraction form
    25,620.96/38,381.72 = 16,829.20/x
  3. Step 3: Cross multiply
    25,620.96x = 38,381.72 × 16,829.20
  4. Step 4: Simplify right side
    25,620.96x = 645,933,642.22
  5. Step 5: Solve for x
    x = 645,933,642.22/25,620.96
  6. Step 6: Final answer
    x = 25,211.14

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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.