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Finding the Fourth Proportional to 21,188.52, 31,785.75 and 6,395.76

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Solution

The fourth proportional to 21,188.52, 31,785.75 and 6,395.76 is: 9,594.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,188.52 : 31,785.75 = 6,395.76 : x
  2. Step 2: Convert to fraction form
    21,188.52/31,785.75 = 6,395.76/x
  3. Step 3: Cross multiply
    21,188.52x = 31,785.75 × 6,395.76
  4. Step 4: Simplify right side
    21,188.52x = 203,294,028.42
  5. Step 5: Solve for x
    x = 203,294,028.42/21,188.52
  6. Step 6: Final answer
    x = 9,594.54

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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.