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Finding the Fourth Proportional to 13,711.41, 20,540.12 and 8,698.32

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Solution

The fourth proportional to 13,711.41, 20,540.12 and 8,698.32 is: 13,030.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,711.41 : 20,540.12 = 8,698.32 : x
  2. Step 2: Convert to fraction form
    13,711.41/20,540.12 = 8,698.32/x
  3. Step 3: Cross multiply
    13,711.41x = 20,540.12 × 8,698.32
  4. Step 4: Simplify right side
    13,711.41x = 178,664,493.11
  5. Step 5: Solve for x
    x = 178,664,493.11/13,711.41
  6. Step 6: Final answer
    x = 13,030.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.