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Finding the Fourth Proportional to 16,405.20, 22,637.13 and 9,234.22

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Solution

The fourth proportional to 16,405.20, 22,637.13 and 9,234.22 is: 12,742.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,405.20 : 22,637.13 = 9,234.22 : x
  2. Step 2: Convert to fraction form
    16,405.20/22,637.13 = 9,234.22/x
  3. Step 3: Cross multiply
    16,405.20x = 22,637.13 × 9,234.22
  4. Step 4: Simplify right side
    16,405.20x = 209,036,238.59
  5. Step 5: Solve for x
    x = 209,036,238.59/16,405.20
  6. Step 6: Final answer
    x = 12,742.07

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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.