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Finding the Fourth Proportional to 16,565.66, 24,865.36 and 7,209.86

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Solution

The fourth proportional to 16,565.66, 24,865.36 and 7,209.86 is: 10,822.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.66 : 24,865.36 = 7,209.86 : x
  2. Step 2: Convert to fraction form
    16,565.66/24,865.36 = 7,209.86/x
  3. Step 3: Cross multiply
    16,565.66x = 24,865.36 × 7,209.86
  4. Step 4: Simplify right side
    16,565.66x = 179,275,764.45
  5. Step 5: Solve for x
    x = 179,275,764.45/16,565.66
  6. Step 6: Final answer
    x = 10,822.13

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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.