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Finding the Fourth Proportional to 26,122.56, 39,189.60 and 12,264

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Solution

The fourth proportional to 26,122.56, 39,189.60 and 12,264 is: 18,398.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,122.56 : 39,189.60 = 12,264 : x
  2. Step 2: Convert to fraction form
    26,122.56/39,189.60 = 12,264/x
  3. Step 3: Cross multiply
    26,122.56x = 39,189.60 × 12,264
  4. Step 4: Simplify right side
    26,122.56x = 480,621,254.40
  5. Step 5: Solve for x
    x = 480,621,254.40/26,122.56
  6. Step 6: Final answer
    x = 18,398.70

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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.