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Finding the Fourth Proportional to 17,808.47, 26,705.40 and 7,941

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Solution

The fourth proportional to 17,808.47, 26,705.40 and 7,941 is: 11,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,808.47 : 26,705.40 = 7,941 : x
  2. Step 2: Convert to fraction form
    17,808.47/26,705.40 = 7,941/x
  3. Step 3: Cross multiply
    17,808.47x = 26,705.40 × 7,941
  4. Step 4: Simplify right side
    17,808.47x = 212,067,581.40
  5. Step 5: Solve for x
    x = 212,067,581.40/17,808.47
  6. Step 6: Final answer
    x = 11,908.24

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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.