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Finding the Fourth Proportional to 16,543.82, 22,830.56 and 8,990.21

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Solution

The fourth proportional to 16,543.82, 22,830.56 and 8,990.21 is: 12,406.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,543.82 : 22,830.56 = 8,990.21 : x
  2. Step 2: Convert to fraction form
    16,543.82/22,830.56 = 8,990.21/x
  3. Step 3: Cross multiply
    16,543.82x = 22,830.56 × 8,990.21
  4. Step 4: Simplify right side
    16,543.82x = 205,251,437.14
  5. Step 5: Solve for x
    x = 205,251,437.14/16,543.82
  6. Step 6: Final answer
    x = 12,406.54

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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.