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Finding the Fourth Proportional to 21,200.29, 31,796.34 and 6,405.76

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Solution

The fourth proportional to 21,200.29, 31,796.34 and 6,405.76 is: 9,607.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.29 : 31,796.34 = 6,405.76 : x
  2. Step 2: Convert to fraction form
    21,200.29/31,796.34 = 6,405.76/x
  3. Step 3: Cross multiply
    21,200.29x = 31,796.34 × 6,405.76
  4. Step 4: Simplify right side
    21,200.29x = 203,679,722.92
  5. Step 5: Solve for x
    x = 203,679,722.92/21,200.29
  6. Step 6: Final answer
    x = 9,607.40

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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.