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Finding the Fourth Proportional to 24,374, 33,638.47 and 14,811.78

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Solution

The fourth proportional to 24,374, 33,638.47 and 14,811.78 is: 20,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,374 : 33,638.47 = 14,811.78 : x
  2. Step 2: Convert to fraction form
    24,374/33,638.47 = 14,811.78/x
  3. Step 3: Cross multiply
    24,374x = 33,638.47 × 14,811.78
  4. Step 4: Simplify right side
    24,374x = 498,245,617.18
  5. Step 5: Solve for x
    x = 498,245,617.18/24,374
  6. Step 6: Final answer
    x = 20,441.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.