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Finding the Fourth Proportional to 21,707.11, 32,565 and 9,227.02

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Solution

The fourth proportional to 21,707.11, 32,565 and 9,227.02 is: 13,842.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,707.11 : 32,565 = 9,227.02 : x
  2. Step 2: Convert to fraction form
    21,707.11/32,565 = 9,227.02/x
  3. Step 3: Cross multiply
    21,707.11x = 32,565 × 9,227.02
  4. Step 4: Simplify right side
    21,707.11x = 300,477,906.30
  5. Step 5: Solve for x
    x = 300,477,906.30/21,707.11
  6. Step 6: Final answer
    x = 13,842.37

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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.