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Finding the Fourth Proportional to 10,232.42, 15,347.09 and 2,836.10

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Solution

The fourth proportional to 10,232.42, 15,347.09 and 2,836.10 is: 4,253.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,232.42 : 15,347.09 = 2,836.10 : x
  2. Step 2: Convert to fraction form
    10,232.42/15,347.09 = 2,836.10/x
  3. Step 3: Cross multiply
    10,232.42x = 15,347.09 × 2,836.10
  4. Step 4: Simplify right side
    10,232.42x = 43,525,791.03
  5. Step 5: Solve for x
    x = 43,525,791.03/10,232.42
  6. Step 6: Final answer
    x = 4,253.72

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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.