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Finding the Fourth Proportional to 15,667.80, 21,614.20 and 9,697.28

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Solution

The fourth proportional to 15,667.80, 21,614.20 and 9,697.28 is: 13,377.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,667.80 : 21,614.20 = 9,697.28 : x
  2. Step 2: Convert to fraction form
    15,667.80/21,614.20 = 9,697.28/x
  3. Step 3: Cross multiply
    15,667.80x = 21,614.20 × 9,697.28
  4. Step 4: Simplify right side
    15,667.80x = 209,598,949.38
  5. Step 5: Solve for x
    x = 209,598,949.38/15,667.80
  6. Step 6: Final answer
    x = 13,377.69

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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.