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Finding the Fourth Proportional to 16,314.32, 22,513.16 and 8,862.16

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Solution

The fourth proportional to 16,314.32, 22,513.16 and 8,862.16 is: 12,229.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,314.32 : 22,513.16 = 8,862.16 : x
  2. Step 2: Convert to fraction form
    16,314.32/22,513.16 = 8,862.16/x
  3. Step 3: Cross multiply
    16,314.32x = 22,513.16 × 8,862.16
  4. Step 4: Simplify right side
    16,314.32x = 199,515,226.03
  5. Step 5: Solve for x
    x = 199,515,226.03/16,314.32
  6. Step 6: Final answer
    x = 12,229.45

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1.5x scale

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.