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Finding the Fourth Proportional to 14,983.68, 20,677.44 and 8,269.32

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Solution

The fourth proportional to 14,983.68, 20,677.44 and 8,269.32 is: 11,411.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,983.68 : 20,677.44 = 8,269.32 : x
  2. Step 2: Convert to fraction form
    14,983.68/20,677.44 = 8,269.32/x
  3. Step 3: Cross multiply
    14,983.68x = 20,677.44 × 8,269.32
  4. Step 4: Simplify right side
    14,983.68x = 170,988,368.14
  5. Step 5: Solve for x
    x = 170,988,368.14/14,983.68
  6. Step 6: Final answer
    x = 11,411.64

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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.