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Finding the Fourth Proportional to 12,947.88, 19,418.04 and 7,400.19

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Solution

The fourth proportional to 12,947.88, 19,418.04 and 7,400.19 is: 11,098.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.88 : 19,418.04 = 7,400.19 : x
  2. Step 2: Convert to fraction form
    12,947.88/19,418.04 = 7,400.19/x
  3. Step 3: Cross multiply
    12,947.88x = 19,418.04 × 7,400.19
  4. Step 4: Simplify right side
    12,947.88x = 143,697,185.43
  5. Step 5: Solve for x
    x = 143,697,185.43/12,947.88
  6. Step 6: Final answer
    x = 11,098.12

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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.