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Finding the Fourth Proportional to 17,225.42, 23,770.29 and 9,671.61

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Solution

The fourth proportional to 17,225.42, 23,770.29 and 9,671.61 is: 13,346.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,225.42 : 23,770.29 = 9,671.61 : x
  2. Step 2: Convert to fraction form
    17,225.42/23,770.29 = 9,671.61/x
  3. Step 3: Cross multiply
    17,225.42x = 23,770.29 × 9,671.61
  4. Step 4: Simplify right side
    17,225.42x = 229,896,974.47
  5. Step 5: Solve for x
    x = 229,896,974.47/17,225.42
  6. Step 6: Final answer
    x = 13,346.38

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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.