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Finding the Fourth Proportional to 24,402.60, 36,620.10 and 13,872.60

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Solution

The fourth proportional to 24,402.60, 36,620.10 and 13,872.60 is: 20,818.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,402.60 : 36,620.10 = 13,872.60 : x
  2. Step 2: Convert to fraction form
    24,402.60/36,620.10 = 13,872.60/x
  3. Step 3: Cross multiply
    24,402.60x = 36,620.10 × 13,872.60
  4. Step 4: Simplify right side
    24,402.60x = 508,015,999.26
  5. Step 5: Solve for x
    x = 508,015,999.26/24,402.60
  6. Step 6: Final answer
    x = 20,818.11

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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.