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Finding the Fourth Proportional to 16,098.68, 22,213.34 and 9,723.58

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Solution

The fourth proportional to 16,098.68, 22,213.34 and 9,723.58 is: 13,416.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,098.68 : 22,213.34 = 9,723.58 : x
  2. Step 2: Convert to fraction form
    16,098.68/22,213.34 = 9,723.58/x
  3. Step 3: Cross multiply
    16,098.68x = 22,213.34 × 9,723.58
  4. Step 4: Simplify right side
    16,098.68x = 215,993,120.87
  5. Step 5: Solve for x
    x = 215,993,120.87/16,098.68
  6. Step 6: Final answer
    x = 13,416.82

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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.