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Finding the Fourth Proportional to 11,106.72, 16,674.72 and 10,189.80

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Solution

The fourth proportional to 11,106.72, 16,674.72 and 10,189.80 is: 15,298.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106.72 : 16,674.72 = 10,189.80 : x
  2. Step 2: Convert to fraction form
    11,106.72/16,674.72 = 10,189.80/x
  3. Step 3: Cross multiply
    11,106.72x = 16,674.72 × 10,189.80
  4. Step 4: Simplify right side
    11,106.72x = 169,912,061.86
  5. Step 5: Solve for x
    x = 169,912,061.86/11,106.72
  6. Step 6: Final answer
    x = 15,298.13

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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.