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Finding the Fourth Proportional to 24,494.95, 33,802.41 and 13,884.58

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Solution

The fourth proportional to 24,494.95, 33,802.41 and 13,884.58 is: 19,160.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,494.95 : 33,802.41 = 13,884.58 : x
  2. Step 2: Convert to fraction form
    24,494.95/33,802.41 = 13,884.58/x
  3. Step 3: Cross multiply
    24,494.95x = 33,802.41 × 13,884.58
  4. Step 4: Simplify right side
    24,494.95x = 469,332,265.84
  5. Step 5: Solve for x
    x = 469,332,265.84/24,494.95
  6. Step 6: Final answer
    x = 19,160.37

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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.