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Finding the Fourth Proportional to 23,876.37, 35,816.72 and 9,833.13

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Solution

The fourth proportional to 23,876.37, 35,816.72 and 9,833.13 is: 14,750.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,876.37 : 35,816.72 = 9,833.13 : x
  2. Step 2: Convert to fraction form
    23,876.37/35,816.72 = 9,833.13/x
  3. Step 3: Cross multiply
    23,876.37x = 35,816.72 × 9,833.13
  4. Step 4: Simplify right side
    23,876.37x = 352,190,414.77
  5. Step 5: Solve for x
    x = 352,190,414.77/23,876.37
  6. Step 6: Final answer
    x = 14,750.58

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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.