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Finding the Fourth Proportional to 10,559.57, 15,832.67 and 8,993.43

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Solution

The fourth proportional to 10,559.57, 15,832.67 and 8,993.43 is: 13,484.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,559.57 : 15,832.67 = 8,993.43 : x
  2. Step 2: Convert to fraction form
    10,559.57/15,832.67 = 8,993.43/x
  3. Step 3: Cross multiply
    10,559.57x = 15,832.67 × 8,993.43
  4. Step 4: Simplify right side
    10,559.57x = 142,389,964.39
  5. Step 5: Solve for x
    x = 142,389,964.39/10,559.57
  6. Step 6: Final answer
    x = 13,484.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.