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Finding the Fourth Proportional to 24,124, 33,296.88 and 14,193.76

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Solution

The fourth proportional to 24,124, 33,296.88 and 14,193.76 is: 19,590.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,124 : 33,296.88 = 14,193.76 : x
  2. Step 2: Convert to fraction form
    24,124/33,296.88 = 14,193.76/x
  3. Step 3: Cross multiply
    24,124x = 33,296.88 × 14,193.76
  4. Step 4: Simplify right side
    24,124x = 472,607,923.47
  5. Step 5: Solve for x
    x = 472,607,923.47/24,124
  6. Step 6: Final answer
    x = 19,590.78

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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.