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Finding the Fourth Proportional to 13,990.32, 20,984.67 and 6,196.50

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Solution

The fourth proportional to 13,990.32, 20,984.67 and 6,196.50 is: 9,294.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,990.32 : 20,984.67 = 6,196.50 : x
  2. Step 2: Convert to fraction form
    13,990.32/20,984.67 = 6,196.50/x
  3. Step 3: Cross multiply
    13,990.32x = 20,984.67 × 6,196.50
  4. Step 4: Simplify right side
    13,990.32x = 130,031,507.66
  5. Step 5: Solve for x
    x = 130,031,507.66/13,990.32
  6. Step 6: Final answer
    x = 9,294.39

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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.