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Finding the Fourth Proportional to 21,179.92, 31,774.48 and 6,387.68

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Solution

The fourth proportional to 21,179.92, 31,774.48 and 6,387.68 is: 9,582.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,179.92 : 31,774.48 = 6,387.68 : x
  2. Step 2: Convert to fraction form
    21,179.92/31,774.48 = 6,387.68/x
  3. Step 3: Cross multiply
    21,179.92x = 31,774.48 × 6,387.68
  4. Step 4: Simplify right side
    21,179.92x = 202,965,210.41
  5. Step 5: Solve for x
    x = 202,965,210.41/21,179.92
  6. Step 6: Final answer
    x = 9,582.91

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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.