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Finding the Fourth Proportional to 26,176.24, 39,270.84 and 12,322

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Solution

The fourth proportional to 26,176.24, 39,270.84 and 12,322 is: 18,486.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,176.24 : 39,270.84 = 12,322 : x
  2. Step 2: Convert to fraction form
    26,176.24/39,270.84 = 12,322/x
  3. Step 3: Cross multiply
    26,176.24x = 39,270.84 × 12,322
  4. Step 4: Simplify right side
    26,176.24x = 483,895,290.48
  5. Step 5: Solve for x
    x = 483,895,290.48/26,176.24
  6. Step 6: Final answer
    x = 18,486.05

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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.