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Finding the Fourth Proportional to 21,610.42, 32,429.29 and 8,462.44

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Solution

The fourth proportional to 21,610.42, 32,429.29 and 8,462.44 is: 12,699.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.42 : 32,429.29 = 8,462.44 : x
  2. Step 2: Convert to fraction form
    21,610.42/32,429.29 = 8,462.44/x
  3. Step 3: Cross multiply
    21,610.42x = 32,429.29 × 8,462.44
  4. Step 4: Simplify right side
    21,610.42x = 274,430,920.87
  5. Step 5: Solve for x
    x = 274,430,920.87/21,610.42
  6. Step 6: Final answer
    x = 12,699.01

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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.