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Finding the Fourth Proportional to 21,007.71, 31,502.32 and 6,217.76

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Solution

The fourth proportional to 21,007.71, 31,502.32 and 6,217.76 is: 9,323.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,007.71 : 31,502.32 = 6,217.76 : x
  2. Step 2: Convert to fraction form
    21,007.71/31,502.32 = 6,217.76/x
  3. Step 3: Cross multiply
    21,007.71x = 31,502.32 × 6,217.76
  4. Step 4: Simplify right side
    21,007.71x = 195,873,928.41
  5. Step 5: Solve for x
    x = 195,873,928.41/21,007.71
  6. Step 6: Final answer
    x = 9,323.91

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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.