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Finding the Fourth Proportional to 16,400.14, 22,632.18 and 8,948.14

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Solution

The fourth proportional to 16,400.14, 22,632.18 and 8,948.14 is: 12,348.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.14 : 22,632.18 = 8,948.14 : x
  2. Step 2: Convert to fraction form
    16,400.14/22,632.18 = 8,948.14/x
  3. Step 3: Cross multiply
    16,400.14x = 22,632.18 × 8,948.14
  4. Step 4: Simplify right side
    16,400.14x = 202,515,915.15
  5. Step 5: Solve for x
    x = 202,515,915.15/16,400.14
  6. Step 6: Final answer
    x = 12,348.43

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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.