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Finding the Fourth Proportional to 22,894.08, 31,591.22 and 12,821.12

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Solution

The fourth proportional to 22,894.08, 31,591.22 and 12,821.12 is: 17,691.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,894.08 : 31,591.22 = 12,821.12 : x
  2. Step 2: Convert to fraction form
    22,894.08/31,591.22 = 12,821.12/x
  3. Step 3: Cross multiply
    22,894.08x = 31,591.22 × 12,821.12
  4. Step 4: Simplify right side
    22,894.08x = 405,034,822.57
  5. Step 5: Solve for x
    x = 405,034,822.57/22,894.08
  6. Step 6: Final answer
    x = 17,691.68

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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.