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Finding the Fourth Proportional to 17,810.50, 26,716.11 and 5,498.50

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Solution

The fourth proportional to 17,810.50, 26,716.11 and 5,498.50 is: 8,247.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,810.50 : 26,716.11 = 5,498.50 : x
  2. Step 2: Convert to fraction form
    17,810.50/26,716.11 = 5,498.50/x
  3. Step 3: Cross multiply
    17,810.50x = 26,716.11 × 5,498.50
  4. Step 4: Simplify right side
    17,810.50x = 146,898,530.84
  5. Step 5: Solve for x
    x = 146,898,530.84/17,810.50
  6. Step 6: Final answer
    x = 8,247.86

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Why These Related Problems?

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