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Finding the Fourth Proportional to 13,292.33, 19,919.68 and 7,371.82

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Solution

The fourth proportional to 13,292.33, 19,919.68 and 7,371.82 is: 11,047.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,292.33 : 19,919.68 = 7,371.82 : x
  2. Step 2: Convert to fraction form
    13,292.33/19,919.68 = 7,371.82/x
  3. Step 3: Cross multiply
    13,292.33x = 19,919.68 × 7,371.82
  4. Step 4: Simplify right side
    13,292.33x = 146,844,295.42
  5. Step 5: Solve for x
    x = 146,844,295.42/13,292.33
  6. Step 6: Final answer
    x = 11,047.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.