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Finding the Fourth Proportional to 21,806.56, 32,701.91 and 9,327.50

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Solution

The fourth proportional to 21,806.56, 32,701.91 and 9,327.50 is: 13,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,806.56 : 32,701.91 = 9,327.50 : x
  2. Step 2: Convert to fraction form
    21,806.56/32,701.91 = 9,327.50/x
  3. Step 3: Cross multiply
    21,806.56x = 32,701.91 × 9,327.50
  4. Step 4: Simplify right side
    21,806.56x = 305,026,855.38
  5. Step 5: Solve for x
    x = 305,026,855.38/21,806.56
  6. Step 6: Final answer
    x = 13,987.85

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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.