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Finding the Fourth Proportional to 17,220, 23,765.04 and 9,769.44

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Solution

The fourth proportional to 17,220, 23,765.04 and 9,769.44 is: 13,482.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,220 : 23,765.04 = 9,769.44 : x
  2. Step 2: Convert to fraction form
    17,220/23,765.04 = 9,769.44/x
  3. Step 3: Cross multiply
    17,220x = 23,765.04 × 9,769.44
  4. Step 4: Simplify right side
    17,220x = 232,171,132.38
  5. Step 5: Solve for x
    x = 232,171,132.38/17,220
  6. Step 6: Final answer
    x = 13,482.64

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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.