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Finding the Fourth Proportional to 12,907.61, 17,813.22 and 7,244.17

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Solution

The fourth proportional to 12,907.61, 17,813.22 and 7,244.17 is: 9,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,907.61 : 17,813.22 = 7,244.17 : x
  2. Step 2: Convert to fraction form
    12,907.61/17,813.22 = 7,244.17/x
  3. Step 3: Cross multiply
    12,907.61x = 17,813.22 × 7,244.17
  4. Step 4: Simplify right side
    12,907.61x = 129,041,993.93
  5. Step 5: Solve for x
    x = 129,041,993.93/12,907.61
  6. Step 6: Final answer
    x = 9,997.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.