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Finding the Fourth Proportional to 21,610.83, 32,415.15 and 8,465.61

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Solution

The fourth proportional to 21,610.83, 32,415.15 and 8,465.61 is: 12,697.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,610.83 : 32,415.15 = 8,465.61 : x
  2. Step 2: Convert to fraction form
    21,610.83/32,415.15 = 8,465.61/x
  3. Step 3: Cross multiply
    21,610.83x = 32,415.15 × 8,465.61
  4. Step 4: Simplify right side
    21,610.83x = 274,414,017.99
  5. Step 5: Solve for x
    x = 274,414,017.99/21,610.83
  6. Step 6: Final answer
    x = 12,697.99

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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.