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Finding the Fourth Proportional to 10,275.44, 15,322.93 and 10,181.88

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Solution

The fourth proportional to 10,275.44, 15,322.93 and 10,181.88 is: 15,183.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,275.44 : 15,322.93 = 10,181.88 : x
  2. Step 2: Convert to fraction form
    10,275.44/15,322.93 = 10,181.88/x
  3. Step 3: Cross multiply
    10,275.44x = 15,322.93 × 10,181.88
  4. Step 4: Simplify right side
    10,275.44x = 156,016,209.05
  5. Step 5: Solve for x
    x = 156,016,209.05/10,275.44
  6. Step 6: Final answer
    x = 15,183.42

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.