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Finding the Fourth Proportional to 22,920.66, 34,378.25 and 6,282.14

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Solution

The fourth proportional to 22,920.66, 34,378.25 and 6,282.14 is: 9,422.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920.66 : 34,378.25 = 6,282.14 : x
  2. Step 2: Convert to fraction form
    22,920.66/34,378.25 = 6,282.14/x
  3. Step 3: Cross multiply
    22,920.66x = 34,378.25 × 6,282.14
  4. Step 4: Simplify right side
    22,920.66x = 215,968,776.15
  5. Step 5: Solve for x
    x = 215,968,776.15/22,920.66
  6. Step 6: Final answer
    x = 9,422.45

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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.