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Finding the Fourth Proportional to 16,314, 22,513.32 and 8,862

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Solution

The fourth proportional to 16,314, 22,513.32 and 8,862 is: 12,229.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314 : 22,513.32 = 8,862 : x
  2. Step 2: Convert to fraction form
    16,314/22,513.32 = 8,862/x
  3. Step 3: Cross multiply
    16,314x = 22,513.32 × 8,862
  4. Step 4: Simplify right side
    16,314x = 199,513,041.84
  5. Step 5: Solve for x
    x = 199,513,041.84/16,314
  6. Step 6: Final answer
    x = 12,229.56

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Why These Related Problems?

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