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Finding the Fourth Proportional to 16,238.41, 22,405.31 and 9,162.25

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Solution

The fourth proportional to 16,238.41, 22,405.31 and 9,162.25 is: 12,641.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,238.41 : 22,405.31 = 9,162.25 : x
  2. Step 2: Convert to fraction form
    16,238.41/22,405.31 = 9,162.25/x
  3. Step 3: Cross multiply
    16,238.41x = 22,405.31 × 9,162.25
  4. Step 4: Simplify right side
    16,238.41x = 205,282,984.08
  5. Step 5: Solve for x
    x = 205,282,984.08/16,238.41
  6. Step 6: Final answer
    x = 12,641.82

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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.