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Finding the Fourth Proportional to 20,434.77, 30,652.02 and 5,643.81

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Solution

The fourth proportional to 20,434.77, 30,652.02 and 5,643.81 is: 8,465.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,434.77 : 30,652.02 = 5,643.81 : x
  2. Step 2: Convert to fraction form
    20,434.77/30,652.02 = 5,643.81/x
  3. Step 3: Cross multiply
    20,434.77x = 30,652.02 × 5,643.81
  4. Step 4: Simplify right side
    20,434.77x = 172,994,177.00
  5. Step 5: Solve for x
    x = 172,994,177.00/20,434.77
  6. Step 6: Final answer
    x = 8,465.68

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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.