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Finding the Fourth Proportional to 17,644.31, 24,348.69 and 9,686.46

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Solution

The fourth proportional to 17,644.31, 24,348.69 and 9,686.46 is: 13,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,644.31 : 24,348.69 = 9,686.46 : x
  2. Step 2: Convert to fraction form
    17,644.31/24,348.69 = 9,686.46/x
  3. Step 3: Cross multiply
    17,644.31x = 24,348.69 × 9,686.46
  4. Step 4: Simplify right side
    17,644.31x = 235,852,611.74
  5. Step 5: Solve for x
    x = 235,852,611.74/17,644.31
  6. Step 6: Final answer
    x = 13,367.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.