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Finding the Fourth Proportional to 12,422.98, 18,637.17 and 6,186.39

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Solution

The fourth proportional to 12,422.98, 18,637.17 and 6,186.39 is: 9,280.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,422.98 : 18,637.17 = 6,186.39 : x
  2. Step 2: Convert to fraction form
    12,422.98/18,637.17 = 6,186.39/x
  3. Step 3: Cross multiply
    12,422.98x = 18,637.17 × 6,186.39
  4. Step 4: Simplify right side
    12,422.98x = 115,296,802.12
  5. Step 5: Solve for x
    x = 115,296,802.12/12,422.98
  6. Step 6: Final answer
    x = 9,280.93

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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.