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Finding the Fourth Proportional to 17,864.62, 26,789.16 and 7,869.16

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Solution

The fourth proportional to 17,864.62, 26,789.16 and 7,869.16 is: 11,800.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.62 : 26,789.16 = 7,869.16 : x
  2. Step 2: Convert to fraction form
    17,864.62/26,789.16 = 7,869.16/x
  3. Step 3: Cross multiply
    17,864.62x = 26,789.16 × 7,869.16
  4. Step 4: Simplify right side
    17,864.62x = 210,808,186.31
  5. Step 5: Solve for x
    x = 210,808,186.31/17,864.62
  6. Step 6: Final answer
    x = 11,800.32

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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.