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Finding the Fourth Proportional to 24,827.66, 37,243.95 and 8,187.86

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Solution

The fourth proportional to 24,827.66, 37,243.95 and 8,187.86 is: 12,282.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.66 : 37,243.95 = 8,187.86 : x
  2. Step 2: Convert to fraction form
    24,827.66/37,243.95 = 8,187.86/x
  3. Step 3: Cross multiply
    24,827.66x = 37,243.95 × 8,187.86
  4. Step 4: Simplify right side
    24,827.66x = 304,948,248.45
  5. Step 5: Solve for x
    x = 304,948,248.45/24,827.66
  6. Step 6: Final answer
    x = 12,282.60

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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.