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Finding the Fourth Proportional to 12,109.32, 16,711.74 and 7,394.52

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Solution

The fourth proportional to 12,109.32, 16,711.74 and 7,394.52 is: 10,204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,109.32 : 16,711.74 = 7,394.52 : x
  2. Step 2: Convert to fraction form
    12,109.32/16,711.74 = 7,394.52/x
  3. Step 3: Cross multiply
    12,109.32x = 16,711.74 × 7,394.52
  4. Step 4: Simplify right side
    12,109.32x = 123,575,295.66
  5. Step 5: Solve for x
    x = 123,575,295.66/12,109.32
  6. Step 6: Final answer
    x = 10,204.97

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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.