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Finding the Fourth Proportional to 22,842.18, 34,264.31 and 8,051.24

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Solution

The fourth proportional to 22,842.18, 34,264.31 and 8,051.24 is: 12,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.18 : 34,264.31 = 8,051.24 : x
  2. Step 2: Convert to fraction form
    22,842.18/34,264.31 = 8,051.24/x
  3. Step 3: Cross multiply
    22,842.18x = 34,264.31 × 8,051.24
  4. Step 4: Simplify right side
    22,842.18x = 275,869,971.67
  5. Step 5: Solve for x
    x = 275,869,971.67/22,842.18
  6. Step 6: Final answer
    x = 12,077.22

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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.