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Finding the Fourth Proportional to 24,179.60, 33,372.06 and 14,114

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Solution

The fourth proportional to 24,179.60, 33,372.06 and 14,114 is: 19,479.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,179.60 : 33,372.06 = 14,114 : x
  2. Step 2: Convert to fraction form
    24,179.60/33,372.06 = 14,114/x
  3. Step 3: Cross multiply
    24,179.60x = 33,372.06 × 14,114
  4. Step 4: Simplify right side
    24,179.60x = 471,013,254.84
  5. Step 5: Solve for x
    x = 471,013,254.84/24,179.60
  6. Step 6: Final answer
    x = 19,479.78

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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.