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Finding the Fourth Proportional to 23,462.50, 32,377.85 and 12,852.10

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Solution

The fourth proportional to 23,462.50, 32,377.85 and 12,852.10 is: 17,735.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,462.50 : 32,377.85 = 12,852.10 : x
  2. Step 2: Convert to fraction form
    23,462.50/32,377.85 = 12,852.10/x
  3. Step 3: Cross multiply
    23,462.50x = 32,377.85 × 12,852.10
  4. Step 4: Simplify right side
    23,462.50x = 416,123,365.99
  5. Step 5: Solve for x
    x = 416,123,365.99/23,462.50
  6. Step 6: Final answer
    x = 17,735.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.