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Finding the Fourth Proportional to 14,396, 21,559.17 and 6,982.10

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Solution

The fourth proportional to 14,396, 21,559.17 and 6,982.10 is: 10,456.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,396 : 21,559.17 = 6,982.10 : x
  2. Step 2: Convert to fraction form
    14,396/21,559.17 = 6,982.10/x
  3. Step 3: Cross multiply
    14,396x = 21,559.17 × 6,982.10
  4. Step 4: Simplify right side
    14,396x = 150,528,280.86
  5. Step 5: Solve for x
    x = 150,528,280.86/14,396
  6. Step 6: Final answer
    x = 10,456.26

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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.