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Finding the Fourth Proportional to 22,842.67, 34,265.06 and 8,051.74

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Solution

The fourth proportional to 22,842.67, 34,265.06 and 8,051.74 is: 12,077.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,842.67 : 34,265.06 = 8,051.74 : x
  2. Step 2: Convert to fraction form
    22,842.67/34,265.06 = 8,051.74/x
  3. Step 3: Cross multiply
    22,842.67x = 34,265.06 × 8,051.74
  4. Step 4: Simplify right side
    22,842.67x = 275,893,354.20
  5. Step 5: Solve for x
    x = 275,893,354.20/22,842.67
  6. Step 6: Final answer
    x = 12,077.98

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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.