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Finding the Fourth Proportional to 24,477.39, 33,781.86 and 13,870.44

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Solution

The fourth proportional to 24,477.39, 33,781.86 and 13,870.44 is: 19,142.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,477.39 : 33,781.86 = 13,870.44 : x
  2. Step 2: Convert to fraction form
    24,477.39/33,781.86 = 13,870.44/x
  3. Step 3: Cross multiply
    24,477.39x = 33,781.86 × 13,870.44
  4. Step 4: Simplify right side
    24,477.39x = 468,569,262.22
  5. Step 5: Solve for x
    x = 468,569,262.22/24,477.39
  6. Step 6: Final answer
    x = 19,142.94

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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.