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Finding the Fourth Proportional to 21,150.66, 31,730.52 and 6,358.34

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Solution

The fourth proportional to 21,150.66, 31,730.52 and 6,358.34 is: 9,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,150.66 : 31,730.52 = 6,358.34 : x
  2. Step 2: Convert to fraction form
    21,150.66/31,730.52 = 6,358.34/x
  3. Step 3: Cross multiply
    21,150.66x = 31,730.52 × 6,358.34
  4. Step 4: Simplify right side
    21,150.66x = 201,753,434.54
  5. Step 5: Solve for x
    x = 201,753,434.54/21,150.66
  6. Step 6: Final answer
    x = 9,538.87

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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.