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Finding the Fourth Proportional to 24,487.96, 33,793.24 and 14,416.28

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Solution

The fourth proportional to 24,487.96, 33,793.24 and 14,416.28 is: 19,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,487.96 : 33,793.24 = 14,416.28 : x
  2. Step 2: Convert to fraction form
    24,487.96/33,793.24 = 14,416.28/x
  3. Step 3: Cross multiply
    24,487.96x = 33,793.24 × 14,416.28
  4. Step 4: Simplify right side
    24,487.96x = 487,172,809.95
  5. Step 5: Solve for x
    x = 487,172,809.95/24,487.96
  6. Step 6: Final answer
    x = 19,894.38

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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.