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Finding the Fourth Proportional to 26,388.72, 36,419.18 and 15,640

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Solution

The fourth proportional to 26,388.72, 36,419.18 and 15,640 is: 21,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,388.72 : 36,419.18 = 15,640 : x
  2. Step 2: Convert to fraction form
    26,388.72/36,419.18 = 15,640/x
  3. Step 3: Cross multiply
    26,388.72x = 36,419.18 × 15,640
  4. Step 4: Simplify right side
    26,388.72x = 569,595,975.20
  5. Step 5: Solve for x
    x = 569,595,975.20/26,388.72
  6. Step 6: Final answer
    x = 21,584.83

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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.