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Finding the Fourth Proportional to 14,983.42, 20,677.28 and 8,269.28

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Solution

The fourth proportional to 14,983.42, 20,677.28 and 8,269.28 is: 11,411.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.42 : 20,677.28 = 8,269.28 : x
  2. Step 2: Convert to fraction form
    14,983.42/20,677.28 = 8,269.28/x
  3. Step 3: Cross multiply
    14,983.42x = 20,677.28 × 8,269.28
  4. Step 4: Simplify right side
    14,983.42x = 170,986,217.96
  5. Step 5: Solve for x
    x = 170,986,217.96/14,983.42
  6. Step 6: Final answer
    x = 11,411.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.