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Finding the Fourth Proportional to 22,783.68, 34,180.52 and 6,990.89

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Solution

The fourth proportional to 22,783.68, 34,180.52 and 6,990.89 is: 10,487.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,783.68 : 34,180.52 = 6,990.89 : x
  2. Step 2: Convert to fraction form
    22,783.68/34,180.52 = 6,990.89/x
  3. Step 3: Cross multiply
    22,783.68x = 34,180.52 × 6,990.89
  4. Step 4: Simplify right side
    22,783.68x = 238,952,049.61
  5. Step 5: Solve for x
    x = 238,952,049.61/22,783.68
  6. Step 6: Final answer
    x = 10,487.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.