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Finding the Fourth Proportional to 22,678.30, 34,010.96 and 6,878.60

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Solution

The fourth proportional to 22,678.30, 34,010.96 and 6,878.60 is: 10,315.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,678.30 : 34,010.96 = 6,878.60 : x
  2. Step 2: Convert to fraction form
    22,678.30/34,010.96 = 6,878.60/x
  3. Step 3: Cross multiply
    22,678.30x = 34,010.96 × 6,878.60
  4. Step 4: Simplify right side
    22,678.30x = 233,947,674.93
  5. Step 5: Solve for x
    x = 233,947,674.93/22,678.30
  6. Step 6: Final answer
    x = 10,315.92

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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.