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Finding the Fourth Proportional to 23,427.16, 35,140.92 and 7,846

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Solution

The fourth proportional to 23,427.16, 35,140.92 and 7,846 is: 11,769.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,427.16 : 35,140.92 = 7,846 : x
  2. Step 2: Convert to fraction form
    23,427.16/35,140.92 = 7,846/x
  3. Step 3: Cross multiply
    23,427.16x = 35,140.92 × 7,846
  4. Step 4: Simplify right side
    23,427.16x = 275,715,658.32
  5. Step 5: Solve for x
    x = 275,715,658.32/23,427.16
  6. Step 6: Final answer
    x = 11,769.06

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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.