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Finding the Fourth Proportional to 21,212.92, 31,808.58 and 8,055.28

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Solution

The fourth proportional to 21,212.92, 31,808.58 and 8,055.28 is: 12,078.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.92 : 31,808.58 = 8,055.28 : x
  2. Step 2: Convert to fraction form
    21,212.92/31,808.58 = 8,055.28/x
  3. Step 3: Cross multiply
    21,212.92x = 31,808.58 × 8,055.28
  4. Step 4: Simplify right side
    21,212.92x = 256,227,018.30
  5. Step 5: Solve for x
    x = 256,227,018.30/21,212.92
  6. Step 6: Final answer
    x = 12,078.82

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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.