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Finding the Fourth Proportional to 13,390.89, 20,098.80 and 6,822

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Solution

The fourth proportional to 13,390.89, 20,098.80 and 6,822 is: 10,239.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,390.89 : 20,098.80 = 6,822 : x
  2. Step 2: Convert to fraction form
    13,390.89/20,098.80 = 6,822/x
  3. Step 3: Cross multiply
    13,390.89x = 20,098.80 × 6,822
  4. Step 4: Simplify right side
    13,390.89x = 137,114,013.60
  5. Step 5: Solve for x
    x = 137,114,013.60/13,390.89
  6. Step 6: Final answer
    x = 10,239.35

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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.