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Finding the Fourth Proportional to 22,517.40, 33,776.56 and 6,935

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Solution

The fourth proportional to 22,517.40, 33,776.56 and 6,935 is: 10,402.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,517.40 : 33,776.56 = 6,935 : x
  2. Step 2: Convert to fraction form
    22,517.40/33,776.56 = 6,935/x
  3. Step 3: Cross multiply
    22,517.40x = 33,776.56 × 6,935
  4. Step 4: Simplify right side
    22,517.40x = 234,240,443.60
  5. Step 5: Solve for x
    x = 234,240,443.60/22,517.40
  6. Step 6: Final answer
    x = 10,402.64

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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.