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Finding the Fourth Proportional to 16,182.64, 24,277.20 and 5,793.04

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Solution

The fourth proportional to 16,182.64, 24,277.20 and 5,793.04 is: 8,690.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,182.64 : 24,277.20 = 5,793.04 : x
  2. Step 2: Convert to fraction form
    16,182.64/24,277.20 = 5,793.04/x
  3. Step 3: Cross multiply
    16,182.64x = 24,277.20 × 5,793.04
  4. Step 4: Simplify right side
    16,182.64x = 140,638,790.69
  5. Step 5: Solve for x
    x = 140,638,790.69/16,182.64
  6. Step 6: Final answer
    x = 8,690.72

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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.