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Finding the Fourth Proportional to 17,222.70, 23,769.63 and 9,669.44

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Solution

The fourth proportional to 17,222.70, 23,769.63 and 9,669.44 is: 13,345.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,222.70 : 23,769.63 = 9,669.44 : x
  2. Step 2: Convert to fraction form
    17,222.70/23,769.63 = 9,669.44/x
  3. Step 3: Cross multiply
    17,222.70x = 23,769.63 × 9,669.44
  4. Step 4: Simplify right side
    17,222.70x = 229,838,892.26
  5. Step 5: Solve for x
    x = 229,838,892.26/17,222.70
  6. Step 6: Final answer
    x = 13,345.11

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1.5x scale

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.