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Finding the Fourth Proportional to 21,938.86, 32,908.24 and 7,147.77

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Solution

The fourth proportional to 21,938.86, 32,908.24 and 7,147.77 is: 10,721.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938.86 : 32,908.24 = 7,147.77 : x
  2. Step 2: Convert to fraction form
    21,938.86/32,908.24 = 7,147.77/x
  3. Step 3: Cross multiply
    21,938.86x = 32,908.24 × 7,147.77
  4. Step 4: Simplify right side
    21,938.86x = 235,220,530.62
  5. Step 5: Solve for x
    x = 235,220,530.62/21,938.86
  6. Step 6: Final answer
    x = 10,721.64

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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.