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Finding the Fourth Proportional to 18,224.22, 27,349.65 and 11,666.46

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Solution

The fourth proportional to 18,224.22, 27,349.65 and 11,666.46 is: 17,508.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,224.22 : 27,349.65 = 11,666.46 : x
  2. Step 2: Convert to fraction form
    18,224.22/27,349.65 = 11,666.46/x
  3. Step 3: Cross multiply
    18,224.22x = 27,349.65 × 11,666.46
  4. Step 4: Simplify right side
    18,224.22x = 319,073,597.74
  5. Step 5: Solve for x
    x = 319,073,597.74/18,224.22
  6. Step 6: Final answer
    x = 17,508.22

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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.