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Finding the Fourth Proportional to 17,722.29, 26,574.12 and 7,857.30

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Solution

The fourth proportional to 17,722.29, 26,574.12 and 7,857.30 is: 11,781.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,722.29 : 26,574.12 = 7,857.30 : x
  2. Step 2: Convert to fraction form
    17,722.29/26,574.12 = 7,857.30/x
  3. Step 3: Cross multiply
    17,722.29x = 26,574.12 × 7,857.30
  4. Step 4: Simplify right side
    17,722.29x = 208,800,833.08
  5. Step 5: Solve for x
    x = 208,800,833.08/17,722.29
  6. Step 6: Final answer
    x = 11,781.82

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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.