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Finding the Fourth Proportional to 22,316.26, 30,793.01 and 12,883

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Solution

The fourth proportional to 22,316.26, 30,793.01 and 12,883 is: 17,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,316.26 : 30,793.01 = 12,883 : x
  2. Step 2: Convert to fraction form
    22,316.26/30,793.01 = 12,883/x
  3. Step 3: Cross multiply
    22,316.26x = 30,793.01 × 12,883
  4. Step 4: Simplify right side
    22,316.26x = 396,706,347.83
  5. Step 5: Solve for x
    x = 396,706,347.83/22,316.26
  6. Step 6: Final answer
    x = 17,776.56

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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.