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Finding the Fourth Proportional to 16,565.61, 24,866.80 and 8,243.40

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Solution

The fourth proportional to 16,565.61, 24,866.80 and 8,243.40 is: 12,374.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,565.61 : 24,866.80 = 8,243.40 : x
  2. Step 2: Convert to fraction form
    16,565.61/24,866.80 = 8,243.40/x
  3. Step 3: Cross multiply
    16,565.61x = 24,866.80 × 8,243.40
  4. Step 4: Simplify right side
    16,565.61x = 204,986,841.95
  5. Step 5: Solve for x
    x = 204,986,841.95/16,565.61
  6. Step 6: Final answer
    x = 12,374.24

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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.