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Finding the Fourth Proportional to 17,862.80, 26,798.04 and 6,017.75

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Solution

The fourth proportional to 17,862.80, 26,798.04 and 6,017.75 is: 9,027.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,862.80 : 26,798.04 = 6,017.75 : x
  2. Step 2: Convert to fraction form
    17,862.80/26,798.04 = 6,017.75/x
  3. Step 3: Cross multiply
    17,862.80x = 26,798.04 × 6,017.75
  4. Step 4: Simplify right side
    17,862.80x = 161,263,905.21
  5. Step 5: Solve for x
    x = 161,263,905.21/17,862.80
  6. Step 6: Final answer
    x = 9,027.92

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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.