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Finding the Fourth Proportional to 16,569.24, 24,847.10 and 8,246.20

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Solution

The fourth proportional to 16,569.24, 24,847.10 and 8,246.20 is: 12,365.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,569.24 : 24,847.10 = 8,246.20 : x
  2. Step 2: Convert to fraction form
    16,569.24/24,847.10 = 8,246.20/x
  3. Step 3: Cross multiply
    16,569.24x = 24,847.10 × 8,246.20
  4. Step 4: Simplify right side
    16,569.24x = 204,894,156.02
  5. Step 5: Solve for x
    x = 204,894,156.02/16,569.24
  6. Step 6: Final answer
    x = 12,365.94

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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.