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Finding the Fourth Proportional to 20,433.83, 30,650.71 and 5,642.71

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Solution

The fourth proportional to 20,433.83, 30,650.71 and 5,642.71 is: 8,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,433.83 : 30,650.71 = 5,642.71 : x
  2. Step 2: Convert to fraction form
    20,433.83/30,650.71 = 5,642.71/x
  3. Step 3: Cross multiply
    20,433.83x = 30,650.71 × 5,642.71
  4. Step 4: Simplify right side
    20,433.83x = 172,952,966.51
  5. Step 5: Solve for x
    x = 172,952,966.51/20,433.83
  6. Step 6: Final answer
    x = 8,464.05

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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.