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Finding the Fourth Proportional to 12,574.78, 17,354.23 and 8,107.83

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Solution

The fourth proportional to 12,574.78, 17,354.23 and 8,107.83 is: 11,189.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,574.78 : 17,354.23 = 8,107.83 : x
  2. Step 2: Convert to fraction form
    12,574.78/17,354.23 = 8,107.83/x
  3. Step 3: Cross multiply
    12,574.78x = 17,354.23 × 8,107.83
  4. Step 4: Simplify right side
    12,574.78x = 140,705,126.35
  5. Step 5: Solve for x
    x = 140,705,126.35/12,574.78
  6. Step 6: Final answer
    x = 11,189.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.