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Finding the Fourth Proportional to 23,462.34, 35,195.80 and 6,822.50

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Solution

The fourth proportional to 23,462.34, 35,195.80 and 6,822.50 is: 10,234.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.34 : 35,195.80 = 6,822.50 : x
  2. Step 2: Convert to fraction form
    23,462.34/35,195.80 = 6,822.50/x
  3. Step 3: Cross multiply
    23,462.34x = 35,195.80 × 6,822.50
  4. Step 4: Simplify right side
    23,462.34x = 240,123,345.50
  5. Step 5: Solve for x
    x = 240,123,345.50/23,462.34
  6. Step 6: Final answer
    x = 10,234.42

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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.