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Finding the Fourth Proportional to 24,949.82, 37,404.84 and 14,407.88

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Solution

The fourth proportional to 24,949.82, 37,404.84 and 14,407.88 is: 21,600.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,949.82 : 37,404.84 = 14,407.88 : x
  2. Step 2: Convert to fraction form
    24,949.82/37,404.84 = 14,407.88/x
  3. Step 3: Cross multiply
    24,949.82x = 37,404.84 × 14,407.88
  4. Step 4: Simplify right side
    24,949.82x = 538,924,259.12
  5. Step 5: Solve for x
    x = 538,924,259.12/24,949.82
  6. Step 6: Final answer
    x = 21,600.33

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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.