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Finding the Fourth Proportional to 27,996.59, 42,000.06 and 8,005.23

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Solution

The fourth proportional to 27,996.59, 42,000.06 and 8,005.23 is: 12,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,996.59 : 42,000.06 = 8,005.23 : x
  2. Step 2: Convert to fraction form
    27,996.59/42,000.06 = 8,005.23/x
  3. Step 3: Cross multiply
    27,996.59x = 42,000.06 × 8,005.23
  4. Step 4: Simplify right side
    27,996.59x = 336,220,140.31
  5. Step 5: Solve for x
    x = 336,220,140.31/27,996.59
  6. Step 6: Final answer
    x = 12,009.33

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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.