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Finding the Fourth Proportional to 10,022.84, 15,036.31 and 3,449.54

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Solution

The fourth proportional to 10,022.84, 15,036.31 and 3,449.54 is: 5,175.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,022.84 : 15,036.31 = 3,449.54 : x
  2. Step 2: Convert to fraction form
    10,022.84/15,036.31 = 3,449.54/x
  3. Step 3: Cross multiply
    10,022.84x = 15,036.31 × 3,449.54
  4. Step 4: Simplify right side
    10,022.84x = 51,868,300.42
  5. Step 5: Solve for x
    x = 51,868,300.42/10,022.84
  6. Step 6: Final answer
    x = 5,175.01

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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.