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Finding the Fourth Proportional to 16,565.57, 24,835.29 and 8,241.05

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Solution

The fourth proportional to 16,565.57, 24,835.29 and 8,241.05 is: 12,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.57 : 24,835.29 = 8,241.05 : x
  2. Step 2: Convert to fraction form
    16,565.57/24,835.29 = 8,241.05/x
  3. Step 3: Cross multiply
    16,565.57x = 24,835.29 × 8,241.05
  4. Step 4: Simplify right side
    16,565.57x = 204,668,742.48
  5. Step 5: Solve for x
    x = 204,668,742.48/16,565.57
  6. Step 6: Final answer
    x = 12,355.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.