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Finding the Fourth Proportional to 10,214.42, 15,321.63 and 2,821.01

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Solution

The fourth proportional to 10,214.42, 15,321.63 and 2,821.01 is: 4,231.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,214.42 : 15,321.63 = 2,821.01 : x
  2. Step 2: Convert to fraction form
    10,214.42/15,321.63 = 2,821.01/x
  3. Step 3: Cross multiply
    10,214.42x = 15,321.63 × 2,821.01
  4. Step 4: Simplify right side
    10,214.42x = 43,222,394.84
  5. Step 5: Solve for x
    x = 43,222,394.84/10,214.42
  6. Step 6: Final answer
    x = 4,231.51

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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.