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Finding the Fourth Proportional to 24,287.86, 33,517.80 and 13,533.45

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Solution

The fourth proportional to 24,287.86, 33,517.80 and 13,533.45 is: 18,676.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,287.86 : 33,517.80 = 13,533.45 : x
  2. Step 2: Convert to fraction form
    24,287.86/33,517.80 = 13,533.45/x
  3. Step 3: Cross multiply
    24,287.86x = 33,517.80 × 13,533.45
  4. Step 4: Simplify right side
    24,287.86x = 453,611,470.41
  5. Step 5: Solve for x
    x = 453,611,470.41/24,287.86
  6. Step 6: Final answer
    x = 18,676.47

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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.