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Finding the Fourth Proportional to 11,424.93, 17,139.15 and 3,633

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Solution

The fourth proportional to 11,424.93, 17,139.15 and 3,633 is: 5,450.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.93 : 17,139.15 = 3,633 : x
  2. Step 2: Convert to fraction form
    11,424.93/17,139.15 = 3,633/x
  3. Step 3: Cross multiply
    11,424.93x = 17,139.15 × 3,633
  4. Step 4: Simplify right side
    11,424.93x = 62,266,531.95
  5. Step 5: Solve for x
    x = 62,266,531.95/11,424.93
  6. Step 6: Final answer
    x = 5,450.06

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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.