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Finding the Fourth Proportional to 12,616.18, 17,410.41 and 7,238.84

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Solution

The fourth proportional to 12,616.18, 17,410.41 and 7,238.84 is: 9,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.18 : 17,410.41 = 7,238.84 : x
  2. Step 2: Convert to fraction form
    12,616.18/17,410.41 = 7,238.84/x
  3. Step 3: Cross multiply
    12,616.18x = 17,410.41 × 7,238.84
  4. Step 4: Simplify right side
    12,616.18x = 126,031,172.32
  5. Step 5: Solve for x
    x = 126,031,172.32/12,616.18
  6. Step 6: Final answer
    x = 9,989.65

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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.