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Finding the Fourth Proportional to 27,998.24, 42,016.80 and 16,334.24

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Solution

The fourth proportional to 27,998.24, 42,016.80 and 16,334.24 is: 24,512.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,998.24 : 42,016.80 = 16,334.24 : x
  2. Step 2: Convert to fraction form
    27,998.24/42,016.80 = 16,334.24/x
  3. Step 3: Cross multiply
    27,998.24x = 42,016.80 × 16,334.24
  4. Step 4: Simplify right side
    27,998.24x = 686,312,495.23
  5. Step 5: Solve for x
    x = 686,312,495.23/27,998.24
  6. Step 6: Final answer
    x = 24,512.70

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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.