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Finding the Fourth Proportional to 17,222.40, 23,766.72 and 9,769.92

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Solution

The fourth proportional to 17,222.40, 23,766.72 and 9,769.92 is: 13,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.40 : 23,766.72 = 9,769.92 : x
  2. Step 2: Convert to fraction form
    17,222.40/23,766.72 = 9,769.92/x
  3. Step 3: Cross multiply
    17,222.40x = 23,766.72 × 9,769.92
  4. Step 4: Simplify right side
    17,222.40x = 232,198,953.06
  5. Step 5: Solve for x
    x = 232,198,953.06/17,222.40
  6. Step 6: Final answer
    x = 13,482.38

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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.