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Finding the Fourth Proportional to 16,543.24, 22,827.81 and 9,471.04

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Solution

The fourth proportional to 16,543.24, 22,827.81 and 9,471.04 is: 13,068.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.24 : 22,827.81 = 9,471.04 : x
  2. Step 2: Convert to fraction form
    16,543.24/22,827.81 = 9,471.04/x
  3. Step 3: Cross multiply
    16,543.24x = 22,827.81 × 9,471.04
  4. Step 4: Simplify right side
    16,543.24x = 216,203,101.62
  5. Step 5: Solve for x
    x = 216,203,101.62/16,543.24
  6. Step 6: Final answer
    x = 13,068.97

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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.