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Finding the Fourth Proportional to 16,143.55, 22,276.02 and 9,424.31

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Solution

The fourth proportional to 16,143.55, 22,276.02 and 9,424.31 is: 13,004.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,143.55 : 22,276.02 = 9,424.31 : x
  2. Step 2: Convert to fraction form
    16,143.55/22,276.02 = 9,424.31/x
  3. Step 3: Cross multiply
    16,143.55x = 22,276.02 × 9,424.31
  4. Step 4: Simplify right side
    16,143.55x = 209,936,118.05
  5. Step 5: Solve for x
    x = 209,936,118.05/16,143.55
  6. Step 6: Final answer
    x = 13,004.33

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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.