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Finding the Fourth Proportional to 27,536.99, 37,998.19 and 16,205.81

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Solution

The fourth proportional to 27,536.99, 37,998.19 and 16,205.81 is: 22,362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,536.99 : 37,998.19 = 16,205.81 : x
  2. Step 2: Convert to fraction form
    27,536.99/37,998.19 = 16,205.81/x
  3. Step 3: Cross multiply
    27,536.99x = 37,998.19 × 16,205.81
  4. Step 4: Simplify right side
    27,536.99x = 615,791,447.48
  5. Step 5: Solve for x
    x = 615,791,447.48/27,536.99
  6. Step 6: Final answer
    x = 22,362.34

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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.