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Finding the Fourth Proportional to 17,602.56, 24,291.78 and 9,644.25

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Solution

The fourth proportional to 17,602.56, 24,291.78 and 9,644.25 is: 13,309.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,602.56 : 24,291.78 = 9,644.25 : x
  2. Step 2: Convert to fraction form
    17,602.56/24,291.78 = 9,644.25/x
  3. Step 3: Cross multiply
    17,602.56x = 24,291.78 × 9,644.25
  4. Step 4: Simplify right side
    17,602.56x = 234,275,999.27
  5. Step 5: Solve for x
    x = 234,275,999.27/17,602.56
  6. Step 6: Final answer
    x = 13,309.20

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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.