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Finding the Fourth Proportional to 23,834.31, 35,763 and 9,804.70

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Solution

The fourth proportional to 23,834.31, 35,763 and 9,804.70 is: 14,711.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,834.31 : 35,763 = 9,804.70 : x
  2. Step 2: Convert to fraction form
    23,834.31/35,763 = 9,804.70/x
  3. Step 3: Cross multiply
    23,834.31x = 35,763 × 9,804.70
  4. Step 4: Simplify right side
    23,834.31x = 350,645,486.10
  5. Step 5: Solve for x
    x = 350,645,486.10/23,834.31
  6. Step 6: Final answer
    x = 14,711.80

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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.