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Finding the Fourth Proportional to 13,386.62, 20,098.32 and 6,817.22

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Solution

The fourth proportional to 13,386.62, 20,098.32 and 6,817.22 is: 10,235.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,386.62 : 20,098.32 = 6,817.22 : x
  2. Step 2: Convert to fraction form
    13,386.62/20,098.32 = 6,817.22/x
  3. Step 3: Cross multiply
    13,386.62x = 20,098.32 × 6,817.22
  4. Step 4: Simplify right side
    13,386.62x = 137,014,669.07
  5. Step 5: Solve for x
    x = 137,014,669.07/13,386.62
  6. Step 6: Final answer
    x = 10,235.20

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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.