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Finding the Fourth Proportional to 24,394.92, 36,597.48 and 13,869.78

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Solution

The fourth proportional to 24,394.92, 36,597.48 and 13,869.78 is: 20,807.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,394.92 : 36,597.48 = 13,869.78 : x
  2. Step 2: Convert to fraction form
    24,394.92/36,597.48 = 13,869.78/x
  3. Step 3: Cross multiply
    24,394.92x = 36,597.48 × 13,869.78
  4. Step 4: Simplify right side
    24,394.92x = 507,598,996.15
  5. Step 5: Solve for x
    x = 507,598,996.15/24,394.92
  6. Step 6: Final answer
    x = 20,807.57

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1.5x scale

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.