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Finding the Fourth Proportional to 17,727.64, 26,596.05 and 7,864.54

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Solution

The fourth proportional to 17,727.64, 26,596.05 and 7,864.54 is: 11,798.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,727.64 : 26,596.05 = 7,864.54 : x
  2. Step 2: Convert to fraction form
    17,727.64/26,596.05 = 7,864.54/x
  3. Step 3: Cross multiply
    17,727.64x = 26,596.05 × 7,864.54
  4. Step 4: Simplify right side
    17,727.64x = 209,165,699.07
  5. Step 5: Solve for x
    x = 209,165,699.07/17,727.64
  6. Step 6: Final answer
    x = 11,798.85

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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.