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Finding the Fourth Proportional to 12,214.17, 18,412.83 and 11,400.42

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Solution

The fourth proportional to 12,214.17, 18,412.83 and 11,400.42 is: 17,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,214.17 : 18,412.83 = 11,400.42 : x
  2. Step 2: Convert to fraction form
    12,214.17/18,412.83 = 11,400.42/x
  3. Step 3: Cross multiply
    12,214.17x = 18,412.83 × 11,400.42
  4. Step 4: Simplify right side
    12,214.17x = 209,913,995.39
  5. Step 5: Solve for x
    x = 209,913,995.39/12,214.17
  6. Step 6: Final answer
    x = 17,186.10

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.