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Finding the Fourth Proportional to 16,402.08, 22,634.66 and 9,231.96

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Solution

The fourth proportional to 16,402.08, 22,634.66 and 9,231.96 is: 12,739.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,402.08 : 22,634.66 = 9,231.96 : x
  2. Step 2: Convert to fraction form
    16,402.08/22,634.66 = 9,231.96/x
  3. Step 3: Cross multiply
    16,402.08x = 22,634.66 × 9,231.96
  4. Step 4: Simplify right side
    16,402.08x = 208,962,298.81
  5. Step 5: Solve for x
    x = 208,962,298.81/16,402.08
  6. Step 6: Final answer
    x = 12,739.99

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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.