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Finding the Fourth Proportional to 17,320.80, 23,902.38 and 9,767.01

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Solution

The fourth proportional to 17,320.80, 23,902.38 and 9,767.01 is: 13,478.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,320.80 : 23,902.38 = 9,767.01 : x
  2. Step 2: Convert to fraction form
    17,320.80/23,902.38 = 9,767.01/x
  3. Step 3: Cross multiply
    17,320.80x = 23,902.38 × 9,767.01
  4. Step 4: Simplify right side
    17,320.80x = 233,454,784.48
  5. Step 5: Solve for x
    x = 233,454,784.48/17,320.80
  6. Step 6: Final answer
    x = 13,478.29

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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.