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Finding the Fourth Proportional to 21,837.50, 32,748.18 and 7,793.77

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Solution

The fourth proportional to 21,837.50, 32,748.18 and 7,793.77 is: 11,687.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,837.50 : 32,748.18 = 7,793.77 : x
  2. Step 2: Convert to fraction form
    21,837.50/32,748.18 = 7,793.77/x
  3. Step 3: Cross multiply
    21,837.50x = 32,748.18 × 7,793.77
  4. Step 4: Simplify right side
    21,837.50x = 255,231,619.10
  5. Step 5: Solve for x
    x = 255,231,619.10/21,837.50
  6. Step 6: Final answer
    x = 11,687.77

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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.