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Finding the Fourth Proportional to 12,865.70, 17,760.72 and 9,680.19

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Solution

The fourth proportional to 12,865.70, 17,760.72 and 9,680.19 is: 13,363.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,865.70 : 17,760.72 = 9,680.19 : x
  2. Step 2: Convert to fraction form
    12,865.70/17,760.72 = 9,680.19/x
  3. Step 3: Cross multiply
    12,865.70x = 17,760.72 × 9,680.19
  4. Step 4: Simplify right side
    12,865.70x = 171,927,144.14
  5. Step 5: Solve for x
    x = 171,927,144.14/12,865.70
  6. Step 6: Final answer
    x = 13,363.22

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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.