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Finding the Fourth Proportional to 24,435.41, 33,721.65 and 13,824.81

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Solution

The fourth proportional to 24,435.41, 33,721.65 and 13,824.81 is: 19,078.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,435.41 : 33,721.65 = 13,824.81 : x
  2. Step 2: Convert to fraction form
    24,435.41/33,721.65 = 13,824.81/x
  3. Step 3: Cross multiply
    24,435.41x = 33,721.65 × 13,824.81
  4. Step 4: Simplify right side
    24,435.41x = 466,195,404.14
  5. Step 5: Solve for x
    x = 466,195,404.14/24,435.41
  6. Step 6: Final answer
    x = 19,078.69

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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.