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Finding the Fourth Proportional to 16,542.93, 22,829.36 and 8,989.23

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Solution

The fourth proportional to 16,542.93, 22,829.36 and 8,989.23 is: 12,405.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,542.93 : 22,829.36 = 8,989.23 : x
  2. Step 2: Convert to fraction form
    16,542.93/22,829.36 = 8,989.23/x
  3. Step 3: Cross multiply
    16,542.93x = 22,829.36 × 8,989.23
  4. Step 4: Simplify right side
    16,542.93x = 205,218,322.85
  5. Step 5: Solve for x
    x = 205,218,322.85/16,542.93
  6. Step 6: Final answer
    x = 12,405.20

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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.