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Finding the Fourth Proportional to 17,820.68, 24,592.60 and 9,644.28

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Solution

The fourth proportional to 17,820.68, 24,592.60 and 9,644.28 is: 13,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,820.68 : 24,592.60 = 9,644.28 : x
  2. Step 2: Convert to fraction form
    17,820.68/24,592.60 = 9,644.28/x
  3. Step 3: Cross multiply
    17,820.68x = 24,592.60 × 9,644.28
  4. Step 4: Simplify right side
    17,820.68x = 237,177,920.33
  5. Step 5: Solve for x
    x = 237,177,920.33/17,820.68
  6. Step 6: Final answer
    x = 13,309.14

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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.