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Finding the Fourth Proportional to 24,508.97, 33,822.39 and 13,898.64

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Solution

The fourth proportional to 24,508.97, 33,822.39 and 13,898.64 is: 19,180.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,508.97 : 33,822.39 = 13,898.64 : x
  2. Step 2: Convert to fraction form
    24,508.97/33,822.39 = 13,898.64/x
  3. Step 3: Cross multiply
    24,508.97x = 33,822.39 × 13,898.64
  4. Step 4: Simplify right side
    24,508.97x = 470,085,222.55
  5. Step 5: Solve for x
    x = 470,085,222.55/24,508.97
  6. Step 6: Final answer
    x = 19,180.13

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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.