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Finding the Fourth Proportional to 24,392.92, 36,594.48 and 13,867.78

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Solution

The fourth proportional to 24,392.92, 36,594.48 and 13,867.78 is: 20,804.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,392.92 : 36,594.48 = 13,867.78 : x
  2. Step 2: Convert to fraction form
    24,392.92/36,594.48 = 13,867.78/x
  3. Step 3: Cross multiply
    24,392.92x = 36,594.48 × 13,867.78
  4. Step 4: Simplify right side
    24,392.92x = 507,484,197.85
  5. Step 5: Solve for x
    x = 507,484,197.85/24,392.92
  6. Step 6: Final answer
    x = 20,804.57

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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.