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Finding the Fourth Proportional to 21,665.83, 32,500.59 and 6,083.46

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Solution

The fourth proportional to 21,665.83, 32,500.59 and 6,083.46 is: 9,125.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,665.83 : 32,500.59 = 6,083.46 : x
  2. Step 2: Convert to fraction form
    21,665.83/32,500.59 = 6,083.46/x
  3. Step 3: Cross multiply
    21,665.83x = 32,500.59 × 6,083.46
  4. Step 4: Simplify right side
    21,665.83x = 197,716,039.24
  5. Step 5: Solve for x
    x = 197,716,039.24/21,665.83
  6. Step 6: Final answer
    x = 9,125.71

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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.