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Finding the Fourth Proportional to 21,402.83, 32,102.12 and 6,610.21

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Solution

The fourth proportional to 21,402.83, 32,102.12 and 6,610.21 is: 9,914.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.83 : 32,102.12 = 6,610.21 : x
  2. Step 2: Convert to fraction form
    21,402.83/32,102.12 = 6,610.21/x
  3. Step 3: Cross multiply
    21,402.83x = 32,102.12 × 6,610.21
  4. Step 4: Simplify right side
    21,402.83x = 212,201,690.92
  5. Step 5: Solve for x
    x = 212,201,690.92/21,402.83
  6. Step 6: Final answer
    x = 9,914.65

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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.