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Finding the Fourth Proportional to 20,665.71, 30,999.96 and 5,875.77

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Solution

The fourth proportional to 20,665.71, 30,999.96 and 5,875.77 is: 8,814.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,665.71 : 30,999.96 = 5,875.77 : x
  2. Step 2: Convert to fraction form
    20,665.71/30,999.96 = 5,875.77/x
  3. Step 3: Cross multiply
    20,665.71x = 30,999.96 × 5,875.77
  4. Step 4: Simplify right side
    20,665.71x = 182,148,634.97
  5. Step 5: Solve for x
    x = 182,148,634.97/20,665.71
  6. Step 6: Final answer
    x = 8,814.05

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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.