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Finding the Fourth Proportional to 16,871.64, 25,306.25 and 5,184.15

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Solution

The fourth proportional to 16,871.64, 25,306.25 and 5,184.15 is: 7,775.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,871.64 : 25,306.25 = 5,184.15 : x
  2. Step 2: Convert to fraction form
    16,871.64/25,306.25 = 5,184.15/x
  3. Step 3: Cross multiply
    16,871.64x = 25,306.25 × 5,184.15
  4. Step 4: Simplify right side
    16,871.64x = 131,191,370.02
  5. Step 5: Solve for x
    x = 131,191,370.02/16,871.64
  6. Step 6: Final answer
    x = 7,775.85

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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.