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Finding the Fourth Proportional to 24,376.80, 36,565.20 and 13,879.20

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Solution

The fourth proportional to 24,376.80, 36,565.20 and 13,879.20 is: 20,818.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,376.80 : 36,565.20 = 13,879.20 : x
  2. Step 2: Convert to fraction form
    24,376.80/36,565.20 = 13,879.20/x
  3. Step 3: Cross multiply
    24,376.80x = 36,565.20 × 13,879.20
  4. Step 4: Simplify right side
    24,376.80x = 507,495,723.84
  5. Step 5: Solve for x
    x = 507,495,723.84/24,376.80
  6. Step 6: Final answer
    x = 20,818.80

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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.