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Finding the Fourth Proportional to 22,377.80, 30,881.35 and 12,306.40

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Solution

The fourth proportional to 22,377.80, 30,881.35 and 12,306.40 is: 16,982.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,377.80 : 30,881.35 = 12,306.40 : x
  2. Step 2: Convert to fraction form
    22,377.80/30,881.35 = 12,306.40/x
  3. Step 3: Cross multiply
    22,377.80x = 30,881.35 × 12,306.40
  4. Step 4: Simplify right side
    22,377.80x = 380,038,183.82
  5. Step 5: Solve for x
    x = 380,038,183.82/22,377.80
  6. Step 6: Final answer
    x = 16,982.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.