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Finding the Fourth Proportional to 22,671.66, 31,286.16 and 12,599.82

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Solution

The fourth proportional to 22,671.66, 31,286.16 and 12,599.82 is: 17,387.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,671.66 : 31,286.16 = 12,599.82 : x
  2. Step 2: Convert to fraction form
    22,671.66/31,286.16 = 12,599.82/x
  3. Step 3: Cross multiply
    22,671.66x = 31,286.16 × 12,599.82
  4. Step 4: Simplify right side
    22,671.66x = 394,199,984.49
  5. Step 5: Solve for x
    x = 394,199,984.49/22,671.66
  6. Step 6: Final answer
    x = 17,387.35

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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.