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Finding the Fourth Proportional to 12,106.16, 18,123.92 and 9,195.92

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Solution

The fourth proportional to 12,106.16, 18,123.92 and 9,195.92 is: 13,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106.16 : 18,123.92 = 9,195.92 : x
  2. Step 2: Convert to fraction form
    12,106.16/18,123.92 = 9,195.92/x
  3. Step 3: Cross multiply
    12,106.16x = 18,123.92 × 9,195.92
  4. Step 4: Simplify right side
    12,106.16x = 166,666,118.41
  5. Step 5: Solve for x
    x = 166,666,118.41/12,106.16
  6. Step 6: Final answer
    x = 13,767.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.