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Finding the Fourth Proportional to 12,833.62, 19,261.36 and 5,047.90

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Solution

The fourth proportional to 12,833.62, 19,261.36 and 5,047.90 is: 7,576.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.62 : 19,261.36 = 5,047.90 : x
  2. Step 2: Convert to fraction form
    12,833.62/19,261.36 = 5,047.90/x
  3. Step 3: Cross multiply
    12,833.62x = 19,261.36 × 5,047.90
  4. Step 4: Simplify right side
    12,833.62x = 97,229,419.14
  5. Step 5: Solve for x
    x = 97,229,419.14/12,833.62
  6. Step 6: Final answer
    x = 7,576.15

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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.