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Finding the Fourth Proportional to 23,833.31, 35,761.50 and 9,803.70

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Solution

The fourth proportional to 23,833.31, 35,761.50 and 9,803.70 is: 14,710.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,833.31 : 35,761.50 = 9,803.70 : x
  2. Step 2: Convert to fraction form
    23,833.31/35,761.50 = 9,803.70/x
  3. Step 3: Cross multiply
    23,833.31x = 35,761.50 × 9,803.70
  4. Step 4: Simplify right side
    23,833.31x = 350,595,017.55
  5. Step 5: Solve for x
    x = 350,595,017.55/23,833.31
  6. Step 6: Final answer
    x = 14,710.30

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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.