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Finding the Fourth Proportional to 17,334, 26,005.32 and 5,022

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Solution

The fourth proportional to 17,334, 26,005.32 and 5,022 is: 7,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,334 : 26,005.32 = 5,022 : x
  2. Step 2: Convert to fraction form
    17,334/26,005.32 = 5,022/x
  3. Step 3: Cross multiply
    17,334x = 26,005.32 × 5,022
  4. Step 4: Simplify right side
    17,334x = 130,598,717.04
  5. Step 5: Solve for x
    x = 130,598,717.04/17,334
  6. Step 6: Final answer
    x = 7,534.25

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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.