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Finding the Fourth Proportional to 17,817.56, 24,587.87 and 9,859.78

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Solution

The fourth proportional to 17,817.56, 24,587.87 and 9,859.78 is: 13,606.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,817.56 : 24,587.87 = 9,859.78 : x
  2. Step 2: Convert to fraction form
    17,817.56/24,587.87 = 9,859.78/x
  3. Step 3: Cross multiply
    17,817.56x = 24,587.87 × 9,859.78
  4. Step 4: Simplify right side
    17,817.56x = 242,430,939.57
  5. Step 5: Solve for x
    x = 242,430,939.57/17,817.56
  6. Step 6: Final answer
    x = 13,606.29

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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.