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Finding the Fourth Proportional to 26,202.16, 36,154.92 and 15,022

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Solution

The fourth proportional to 26,202.16, 36,154.92 and 15,022 is: 20,728.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,202.16 : 36,154.92 = 15,022 : x
  2. Step 2: Convert to fraction form
    26,202.16/36,154.92 = 15,022/x
  3. Step 3: Cross multiply
    26,202.16x = 36,154.92 × 15,022
  4. Step 4: Simplify right side
    26,202.16x = 543,119,208.24
  5. Step 5: Solve for x
    x = 543,119,208.24/26,202.16
  6. Step 6: Final answer
    x = 20,728.03

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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.