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Finding the Fourth Proportional to 12,842.07, 19,267.22 and 5,452.74

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Solution

The fourth proportional to 12,842.07, 19,267.22 and 5,452.74 is: 8,180.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,842.07 : 19,267.22 = 5,452.74 : x
  2. Step 2: Convert to fraction form
    12,842.07/19,267.22 = 5,452.74/x
  3. Step 3: Cross multiply
    12,842.07x = 19,267.22 × 5,452.74
  4. Step 4: Simplify right side
    12,842.07x = 105,059,141.18
  5. Step 5: Solve for x
    x = 105,059,141.18/12,842.07
  6. Step 6: Final answer
    x = 8,180.86

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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.