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Finding the Fourth Proportional to 21,876.96, 32,807.39 and 7,833.18

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Solution

The fourth proportional to 21,876.96, 32,807.39 and 7,833.18 is: 11,746.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,876.96 : 32,807.39 = 7,833.18 : x
  2. Step 2: Convert to fraction form
    21,876.96/32,807.39 = 7,833.18/x
  3. Step 3: Cross multiply
    21,876.96x = 32,807.39 × 7,833.18
  4. Step 4: Simplify right side
    21,876.96x = 256,986,029.01
  5. Step 5: Solve for x
    x = 256,986,029.01/21,876.96
  6. Step 6: Final answer
    x = 11,746.88

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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.