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Finding the Fourth Proportional to 22,377.16, 30,881.28 and 12,306.38

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Solution

The fourth proportional to 22,377.16, 30,881.28 and 12,306.38 is: 16,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.16 : 30,881.28 = 12,306.38 : x
  2. Step 2: Convert to fraction form
    22,377.16/30,881.28 = 12,306.38/x
  3. Step 3: Cross multiply
    22,377.16x = 30,881.28 × 12,306.38
  4. Step 4: Simplify right side
    22,377.16x = 380,036,832.02
  5. Step 5: Solve for x
    x = 380,036,832.02/22,377.16
  6. Step 6: Final answer
    x = 16,983.25

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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.