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Finding the Fourth Proportional to 21,937.24, 32,906.58 and 6,355

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Solution

The fourth proportional to 21,937.24, 32,906.58 and 6,355 is: 9,532.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,937.24 : 32,906.58 = 6,355 : x
  2. Step 2: Convert to fraction form
    21,937.24/32,906.58 = 6,355/x
  3. Step 3: Cross multiply
    21,937.24x = 32,906.58 × 6,355
  4. Step 4: Simplify right side
    21,937.24x = 209,121,315.90
  5. Step 5: Solve for x
    x = 209,121,315.90/21,937.24
  6. Step 6: Final answer
    x = 9,532.71

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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.