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Finding the Fourth Proportional to 24,494.38, 33,802.64 and 13,883.79

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Solution

The fourth proportional to 24,494.38, 33,802.64 and 13,883.79 is: 19,159.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.38 : 33,802.64 = 13,883.79 : x
  2. Step 2: Convert to fraction form
    24,494.38/33,802.64 = 13,883.79/x
  3. Step 3: Cross multiply
    24,494.38x = 33,802.64 × 13,883.79
  4. Step 4: Simplify right side
    24,494.38x = 469,308,755.21
  5. Step 5: Solve for x
    x = 469,308,755.21/24,494.38
  6. Step 6: Final answer
    x = 19,159.85

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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.