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Finding the Fourth Proportional to 27,005.10, 40,507.65 and 23,724.60

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Solution

The fourth proportional to 27,005.10, 40,507.65 and 23,724.60 is: 35,586.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,005.10 : 40,507.65 = 23,724.60 : x
  2. Step 2: Convert to fraction form
    27,005.10/40,507.65 = 23,724.60/x
  3. Step 3: Cross multiply
    27,005.10x = 40,507.65 × 23,724.60
  4. Step 4: Simplify right side
    27,005.10x = 961,027,793.19
  5. Step 5: Solve for x
    x = 961,027,793.19/27,005.10
  6. Step 6: Final answer
    x = 35,586.90

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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.