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Finding the Fourth Proportional to 17,823.76, 26,710.70 and 11,826.88

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Solution

The fourth proportional to 17,823.76, 26,710.70 and 11,826.88 is: 17,723.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,823.76 : 26,710.70 = 11,826.88 : x
  2. Step 2: Convert to fraction form
    17,823.76/26,710.70 = 11,826.88/x
  3. Step 3: Cross multiply
    17,823.76x = 26,710.70 × 11,826.88
  4. Step 4: Simplify right side
    17,823.76x = 315,904,243.62
  5. Step 5: Solve for x
    x = 315,904,243.62/17,823.76
  6. Step 6: Final answer
    x = 17,723.77

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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.