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Finding the Fourth Proportional to 16,101.44, 22,215.78 and 9,293.79

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Solution

The fourth proportional to 16,101.44, 22,215.78 and 9,293.79 is: 12,823.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,101.44 : 22,215.78 = 9,293.79 : x
  2. Step 2: Convert to fraction form
    16,101.44/22,215.78 = 9,293.79/x
  3. Step 3: Cross multiply
    16,101.44x = 22,215.78 × 9,293.79
  4. Step 4: Simplify right side
    16,101.44x = 206,468,803.08
  5. Step 5: Solve for x
    x = 206,468,803.08/16,101.44
  6. Step 6: Final answer
    x = 12,823.00

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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.