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Finding the Fourth Proportional to 12,853.62, 19,283.27 and 7,309.58

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Solution

The fourth proportional to 12,853.62, 19,283.27 and 7,309.58 is: 10,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,853.62 : 19,283.27 = 7,309.58 : x
  2. Step 2: Convert to fraction form
    12,853.62/19,283.27 = 7,309.58/x
  3. Step 3: Cross multiply
    12,853.62x = 19,283.27 × 7,309.58
  4. Step 4: Simplify right side
    12,853.62x = 140,952,471.76
  5. Step 5: Solve for x
    x = 140,952,471.76/12,853.62
  6. Step 6: Final answer
    x = 10,965.97

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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.