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Finding the Fourth Proportional to 17,832.80, 26,765.64 and 9,074

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Solution

The fourth proportional to 17,832.80, 26,765.64 and 9,074 is: 13,619.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,832.80 : 26,765.64 = 9,074 : x
  2. Step 2: Convert to fraction form
    17,832.80/26,765.64 = 9,074/x
  3. Step 3: Cross multiply
    17,832.80x = 26,765.64 × 9,074
  4. Step 4: Simplify right side
    17,832.80x = 242,871,417.36
  5. Step 5: Solve for x
    x = 242,871,417.36/17,832.80
  6. Step 6: Final answer
    x = 13,619.37

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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.