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Finding the Fourth Proportional to 16,275.12, 22,459.68 and 8,823.12

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Solution

The fourth proportional to 16,275.12, 22,459.68 and 8,823.12 is: 12,175.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,275.12 : 22,459.68 = 8,823.12 : x
  2. Step 2: Convert to fraction form
    16,275.12/22,459.68 = 8,823.12/x
  3. Step 3: Cross multiply
    16,275.12x = 22,459.68 × 8,823.12
  4. Step 4: Simplify right side
    16,275.12x = 198,164,451.80
  5. Step 5: Solve for x
    x = 198,164,451.80/16,275.12
  6. Step 6: Final answer
    x = 12,175.91

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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.