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Finding the Fourth Proportional to 21,738.57, 32,607.86 and 6,156.20

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Solution

The fourth proportional to 21,738.57, 32,607.86 and 6,156.20 is: 9,234.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,738.57 : 32,607.86 = 6,156.20 : x
  2. Step 2: Convert to fraction form
    21,738.57/32,607.86 = 6,156.20/x
  3. Step 3: Cross multiply
    21,738.57x = 32,607.86 × 6,156.20
  4. Step 4: Simplify right side
    21,738.57x = 200,740,313.91
  5. Step 5: Solve for x
    x = 200,740,313.91/21,738.57
  6. Step 6: Final answer
    x = 9,234.29

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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.