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Finding the Fourth Proportional to 13,032, 17,984.06 and 7,063.65

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Solution

The fourth proportional to 13,032, 17,984.06 and 7,063.65 is: 9,747.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,032 : 17,984.06 = 7,063.65 : x
  2. Step 2: Convert to fraction form
    13,032/17,984.06 = 7,063.65/x
  3. Step 3: Cross multiply
    13,032x = 17,984.06 × 7,063.65
  4. Step 4: Simplify right side
    13,032x = 127,033,105.42
  5. Step 5: Solve for x
    x = 127,033,105.42/13,032
  6. Step 6: Final answer
    x = 9,747.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.