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Finding the Fourth Proportional to 16,178.22, 22,322.24 and 9,102.06

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Solution

The fourth proportional to 16,178.22, 22,322.24 and 9,102.06 is: 12,558.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,178.22 : 22,322.24 = 9,102.06 : x
  2. Step 2: Convert to fraction form
    16,178.22/22,322.24 = 9,102.06/x
  3. Step 3: Cross multiply
    16,178.22x = 22,322.24 × 9,102.06
  4. Step 4: Simplify right side
    16,178.22x = 203,178,367.81
  5. Step 5: Solve for x
    x = 203,178,367.81/16,178.22
  6. Step 6: Final answer
    x = 12,558.76

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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.