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Finding the Fourth Proportional to 14,610.26, 21,918.65 and 6,814.82

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Solution

The fourth proportional to 14,610.26, 21,918.65 and 6,814.82 is: 10,223.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,610.26 : 21,918.65 = 6,814.82 : x
  2. Step 2: Convert to fraction form
    14,610.26/21,918.65 = 6,814.82/x
  3. Step 3: Cross multiply
    14,610.26x = 21,918.65 × 6,814.82
  4. Step 4: Simplify right side
    14,610.26x = 149,371,675.12
  5. Step 5: Solve for x
    x = 149,371,675.12/14,610.26
  6. Step 6: Final answer
    x = 10,223.75

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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.