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Finding the Fourth Proportional to 22,864.80, 34,295.76 and 7,293.60

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Solution

The fourth proportional to 22,864.80, 34,295.76 and 7,293.60 is: 10,939.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.80 : 34,295.76 = 7,293.60 : x
  2. Step 2: Convert to fraction form
    22,864.80/34,295.76 = 7,293.60/x
  3. Step 3: Cross multiply
    22,864.80x = 34,295.76 × 7,293.60
  4. Step 4: Simplify right side
    22,864.80x = 250,139,555.14
  5. Step 5: Solve for x
    x = 250,139,555.14/22,864.80
  6. Step 6: Final answer
    x = 10,939.94

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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.