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Finding the Fourth Proportional to 16,233.68, 22,402.48 and 8,965.78

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Solution

The fourth proportional to 16,233.68, 22,402.48 and 8,965.78 is: 12,372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,233.68 : 22,402.48 = 8,965.78 : x
  2. Step 2: Convert to fraction form
    16,233.68/22,402.48 = 8,965.78/x
  3. Step 3: Cross multiply
    16,233.68x = 22,402.48 × 8,965.78
  4. Step 4: Simplify right side
    16,233.68x = 200,855,707.13
  5. Step 5: Solve for x
    x = 200,855,707.13/16,233.68
  6. Step 6: Final answer
    x = 12,372.78

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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.