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Finding the Fourth Proportional to 24,288.71, 33,521.49 and 13,678.31

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Solution

The fourth proportional to 24,288.71, 33,521.49 and 13,678.31 is: 18,877.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,288.71 : 33,521.49 = 13,678.31 : x
  2. Step 2: Convert to fraction form
    24,288.71/33,521.49 = 13,678.31/x
  3. Step 3: Cross multiply
    24,288.71x = 33,521.49 × 13,678.31
  4. Step 4: Simplify right side
    24,288.71x = 458,517,415.69
  5. Step 5: Solve for x
    x = 458,517,415.69/24,288.71
  6. Step 6: Final answer
    x = 18,877.80

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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.