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Finding the Fourth Proportional to 14,552.91, 20,083.64 and 8,265.87

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Solution

The fourth proportional to 14,552.91, 20,083.64 and 8,265.87 is: 11,407.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,552.91 : 20,083.64 = 8,265.87 : x
  2. Step 2: Convert to fraction form
    14,552.91/20,083.64 = 8,265.87/x
  3. Step 3: Cross multiply
    14,552.91x = 20,083.64 × 8,265.87
  4. Step 4: Simplify right side
    14,552.91x = 166,008,716.04
  5. Step 5: Solve for x
    x = 166,008,716.04/14,552.91
  6. Step 6: Final answer
    x = 11,407.25

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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.