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Finding the Fourth Proportional to 21,772.56, 32,670.09 and 9,289.24

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Solution

The fourth proportional to 21,772.56, 32,670.09 and 9,289.24 is: 13,938.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,772.56 : 32,670.09 = 9,289.24 : x
  2. Step 2: Convert to fraction form
    21,772.56/32,670.09 = 9,289.24/x
  3. Step 3: Cross multiply
    21,772.56x = 32,670.09 × 9,289.24
  4. Step 4: Simplify right side
    21,772.56x = 303,480,306.83
  5. Step 5: Solve for x
    x = 303,480,306.83/21,772.56
  6. Step 6: Final answer
    x = 13,938.66

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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.