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Finding the Fourth Proportional to 22,113.84, 30,520 and 12,680.56

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Solution

The fourth proportional to 22,113.84, 30,520 and 12,680.56 is: 17,500.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,113.84 : 30,520 = 12,680.56 : x
  2. Step 2: Convert to fraction form
    22,113.84/30,520 = 12,680.56/x
  3. Step 3: Cross multiply
    22,113.84x = 30,520 × 12,680.56
  4. Step 4: Simplify right side
    22,113.84x = 387,010,691.20
  5. Step 5: Solve for x
    x = 387,010,691.20/22,113.84
  6. Step 6: Final answer
    x = 17,500.84

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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.