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Finding the Fourth Proportional to 23,562.14, 35,359.38 and 9,711.14

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Solution

The fourth proportional to 23,562.14, 35,359.38 and 9,711.14 is: 14,573.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,562.14 : 35,359.38 = 9,711.14 : x
  2. Step 2: Convert to fraction form
    23,562.14/35,359.38 = 9,711.14/x
  3. Step 3: Cross multiply
    23,562.14x = 35,359.38 × 9,711.14
  4. Step 4: Simplify right side
    23,562.14x = 343,379,889.49
  5. Step 5: Solve for x
    x = 343,379,889.49/23,562.14
  6. Step 6: Final answer
    x = 14,573.37

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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.