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Finding the Fourth Proportional to 12,833.64, 19,250.46 and 5,908.20

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Solution

The fourth proportional to 12,833.64, 19,250.46 and 5,908.20 is: 8,862.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,833.64 : 19,250.46 = 5,908.20 : x
  2. Step 2: Convert to fraction form
    12,833.64/19,250.46 = 5,908.20/x
  3. Step 3: Cross multiply
    12,833.64x = 19,250.46 × 5,908.20
  4. Step 4: Simplify right side
    12,833.64x = 113,735,567.77
  5. Step 5: Solve for x
    x = 113,735,567.77/12,833.64
  6. Step 6: Final answer
    x = 8,862.30

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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.