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Finding the Fourth Proportional to 21,410.64, 32,099.82 and 6,610.86

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Solution

The fourth proportional to 21,410.64, 32,099.82 and 6,610.86 is: 9,911.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,410.64 : 32,099.82 = 6,610.86 : x
  2. Step 2: Convert to fraction form
    21,410.64/32,099.82 = 6,610.86/x
  3. Step 3: Cross multiply
    21,410.64x = 32,099.82 × 6,610.86
  4. Step 4: Simplify right side
    21,410.64x = 212,207,416.05
  5. Step 5: Solve for x
    x = 212,207,416.05/21,410.64
  6. Step 6: Final answer
    x = 9,911.31

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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.