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Finding the Fourth Proportional to 12,960.92, 19,430.40 and 5,175.20

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Solution

The fourth proportional to 12,960.92, 19,430.40 and 5,175.20 is: 7,758.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.92 : 19,430.40 = 5,175.20 : x
  2. Step 2: Convert to fraction form
    12,960.92/19,430.40 = 5,175.20/x
  3. Step 3: Cross multiply
    12,960.92x = 19,430.40 × 5,175.20
  4. Step 4: Simplify right side
    12,960.92x = 100,556,206.08
  5. Step 5: Solve for x
    x = 100,556,206.08/12,960.92
  6. Step 6: Final answer
    x = 7,758.42

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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.