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Finding the Fourth Proportional to 16,328.56, 22,542.96 and 11,848

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Solution

The fourth proportional to 16,328.56, 22,542.96 and 11,848 is: 16,357.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.56 : 22,542.96 = 11,848 : x
  2. Step 2: Convert to fraction form
    16,328.56/22,542.96 = 11,848/x
  3. Step 3: Cross multiply
    16,328.56x = 22,542.96 × 11,848
  4. Step 4: Simplify right side
    16,328.56x = 267,088,990.08
  5. Step 5: Solve for x
    x = 267,088,990.08/16,328.56
  6. Step 6: Final answer
    x = 16,357.17

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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.