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Finding the Fourth Proportional to 24,494.57, 33,819.20 and 16,440.30

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Solution

The fourth proportional to 24,494.57, 33,819.20 and 16,440.30 is: 22,698.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.57 : 33,819.20 = 16,440.30 : x
  2. Step 2: Convert to fraction form
    24,494.57/33,819.20 = 16,440.30/x
  3. Step 3: Cross multiply
    24,494.57x = 33,819.20 × 16,440.30
  4. Step 4: Simplify right side
    24,494.57x = 555,997,881.17
  5. Step 5: Solve for x
    x = 555,997,881.17/24,494.57
  6. Step 6: Final answer
    x = 22,698.82

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