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Finding the Fourth Proportional to 10,811.68, 14,921.68 and 10,144.56

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Solution

The fourth proportional to 10,811.68, 14,921.68 and 10,144.56 is: 14,000.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.68 : 14,921.68 = 10,144.56 : x
  2. Step 2: Convert to fraction form
    10,811.68/14,921.68 = 10,144.56/x
  3. Step 3: Cross multiply
    10,811.68x = 14,921.68 × 10,144.56
  4. Step 4: Simplify right side
    10,811.68x = 151,373,878.06
  5. Step 5: Solve for x
    x = 151,373,878.06/10,811.68
  6. Step 6: Final answer
    x = 14,000.96

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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.