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Finding the Fourth Proportional to 20,178.66, 30,268.80 and 7,032.36

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Solution

The fourth proportional to 20,178.66, 30,268.80 and 7,032.36 is: 10,548.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,178.66 : 30,268.80 = 7,032.36 : x
  2. Step 2: Convert to fraction form
    20,178.66/30,268.80 = 7,032.36/x
  3. Step 3: Cross multiply
    20,178.66x = 30,268.80 × 7,032.36
  4. Step 4: Simplify right side
    20,178.66x = 212,861,098.37
  5. Step 5: Solve for x
    x = 212,861,098.37/20,178.66
  6. Step 6: Final answer
    x = 10,548.82

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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.