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Finding the Fourth Proportional to 21,207.10, 31,822.80 and 8,068.90

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Solution

The fourth proportional to 21,207.10, 31,822.80 and 8,068.90 is: 12,107.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,207.10 : 31,822.80 = 8,068.90 : x
  2. Step 2: Convert to fraction form
    21,207.10/31,822.80 = 8,068.90/x
  3. Step 3: Cross multiply
    21,207.10x = 31,822.80 × 8,068.90
  4. Step 4: Simplify right side
    21,207.10x = 256,774,990.92
  5. Step 5: Solve for x
    x = 256,774,990.92/21,207.10
  6. Step 6: Final answer
    x = 12,107.97

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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.