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Finding the Fourth Proportional to 17,812.22, 26,718 and 5,332.28

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Solution

The fourth proportional to 17,812.22, 26,718 and 5,332.28 is: 7,998.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,812.22 : 26,718 = 5,332.28 : x
  2. Step 2: Convert to fraction form
    17,812.22/26,718 = 5,332.28/x
  3. Step 3: Cross multiply
    17,812.22x = 26,718 × 5,332.28
  4. Step 4: Simplify right side
    17,812.22x = 142,467,857.04
  5. Step 5: Solve for x
    x = 142,467,857.04/17,812.22
  6. Step 6: Final answer
    x = 7,998.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.