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Finding the Fourth Proportional to 24,427.58, 33,711.35 and 13,671.80

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Solution

The fourth proportional to 24,427.58, 33,711.35 and 13,671.80 is: 18,867.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,427.58 : 33,711.35 = 13,671.80 : x
  2. Step 2: Convert to fraction form
    24,427.58/33,711.35 = 13,671.80/x
  3. Step 3: Cross multiply
    24,427.58x = 33,711.35 × 13,671.80
  4. Step 4: Simplify right side
    24,427.58x = 460,894,834.93
  5. Step 5: Solve for x
    x = 460,894,834.93/24,427.58
  6. Step 6: Final answer
    x = 18,867.81

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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.