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Finding the Fourth Proportional to 12,960.38, 19,439.76 and 6,718.52

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Solution

The fourth proportional to 12,960.38, 19,439.76 and 6,718.52 is: 10,077.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.38 : 19,439.76 = 6,718.52 : x
  2. Step 2: Convert to fraction form
    12,960.38/19,439.76 = 6,718.52/x
  3. Step 3: Cross multiply
    12,960.38x = 19,439.76 × 6,718.52
  4. Step 4: Simplify right side
    12,960.38x = 130,606,416.36
  5. Step 5: Solve for x
    x = 130,606,416.36/12,960.38
  6. Step 6: Final answer
    x = 10,077.36

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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.