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Finding the Fourth Proportional to 16,216.95, 22,378.59 and 9,143.34

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Solution

The fourth proportional to 16,216.95, 22,378.59 and 9,143.34 is: 12,617.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,216.95 : 22,378.59 = 9,143.34 : x
  2. Step 2: Convert to fraction form
    16,216.95/22,378.59 = 9,143.34/x
  3. Step 3: Cross multiply
    16,216.95x = 22,378.59 × 9,143.34
  4. Step 4: Simplify right side
    16,216.95x = 204,615,057.09
  5. Step 5: Solve for x
    x = 204,615,057.09/16,216.95
  6. Step 6: Final answer
    x = 12,617.36

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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.