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Finding the Fourth Proportional to 12,616.17, 17,411.09 and 7,027.17

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Solution

The fourth proportional to 12,616.17, 17,411.09 and 7,027.17 is: 9,697.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.17 : 17,411.09 = 7,027.17 : x
  2. Step 2: Convert to fraction form
    12,616.17/17,411.09 = 7,027.17/x
  3. Step 3: Cross multiply
    12,616.17x = 17,411.09 × 7,027.17
  4. Step 4: Simplify right side
    12,616.17x = 122,350,637.00
  5. Step 5: Solve for x
    x = 122,350,637.00/12,616.17
  6. Step 6: Final answer
    x = 9,697.92

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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.