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Finding the Fourth Proportional to 11,642.14, 16,074.20 and 10,898.56

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Solution

The fourth proportional to 11,642.14, 16,074.20 and 10,898.56 is: 15,047.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,642.14 : 16,074.20 = 10,898.56 : x
  2. Step 2: Convert to fraction form
    11,642.14/16,074.20 = 10,898.56/x
  3. Step 3: Cross multiply
    11,642.14x = 16,074.20 × 10,898.56
  4. Step 4: Simplify right side
    11,642.14x = 175,185,633.15
  5. Step 5: Solve for x
    x = 175,185,633.15/11,642.14
  6. Step 6: Final answer
    x = 15,047.55

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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.