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Finding the Fourth Proportional to 12,422.50, 17,138.18 and 7,114.46

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Solution

The fourth proportional to 12,422.50, 17,138.18 and 7,114.46 is: 9,815.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.50 : 17,138.18 = 7,114.46 : x
  2. Step 2: Convert to fraction form
    12,422.50/17,138.18 = 7,114.46/x
  3. Step 3: Cross multiply
    12,422.50x = 17,138.18 × 7,114.46
  4. Step 4: Simplify right side
    12,422.50x = 121,928,896.08
  5. Step 5: Solve for x
    x = 121,928,896.08/12,422.50
  6. Step 6: Final answer
    x = 9,815.17

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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.