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Finding the Fourth Proportional to 24,827.01, 37,241.65 and 8,188.49

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Solution

The fourth proportional to 24,827.01, 37,241.65 and 8,188.49 is: 12,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,827.01 : 37,241.65 = 8,188.49 : x
  2. Step 2: Convert to fraction form
    24,827.01/37,241.65 = 8,188.49/x
  3. Step 3: Cross multiply
    24,827.01x = 37,241.65 × 8,188.49
  4. Step 4: Simplify right side
    24,827.01x = 304,952,958.92
  5. Step 5: Solve for x
    x = 304,952,958.92/24,827.01
  6. Step 6: Final answer
    x = 12,283.11

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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.