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Finding the Fourth Proportional to 17,857.24, 26,798.14 and 6,170.48

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Solution

The fourth proportional to 17,857.24, 26,798.14 and 6,170.48 is: 9,259.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,857.24 : 26,798.14 = 6,170.48 : x
  2. Step 2: Convert to fraction form
    17,857.24/26,798.14 = 6,170.48/x
  3. Step 3: Cross multiply
    17,857.24x = 26,798.14 × 6,170.48
  4. Step 4: Simplify right side
    17,857.24x = 165,357,386.91
  5. Step 5: Solve for x
    x = 165,357,386.91/17,857.24
  6. Step 6: Final answer
    x = 9,259.96

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