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Finding the Fourth Proportional to 12,331.86, 18,513.74 and 10,588.20

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Solution

The fourth proportional to 12,331.86, 18,513.74 and 10,588.20 is: 15,895.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,331.86 : 18,513.74 = 10,588.20 : x
  2. Step 2: Convert to fraction form
    12,331.86/18,513.74 = 10,588.20/x
  3. Step 3: Cross multiply
    12,331.86x = 18,513.74 × 10,588.20
  4. Step 4: Simplify right side
    12,331.86x = 196,027,181.87
  5. Step 5: Solve for x
    x = 196,027,181.87/12,331.86
  6. Step 6: Final answer
    x = 15,895.99

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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.