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Finding the Fourth Proportional to 23,723.94, 35,581.86 and 7,927.86

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Solution

The fourth proportional to 23,723.94, 35,581.86 and 7,927.86 is: 11,890.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,723.94 : 35,581.86 = 7,927.86 : x
  2. Step 2: Convert to fraction form
    23,723.94/35,581.86 = 7,927.86/x
  3. Step 3: Cross multiply
    23,723.94x = 35,581.86 × 7,927.86
  4. Step 4: Simplify right side
    23,723.94x = 282,088,004.62
  5. Step 5: Solve for x
    x = 282,088,004.62/23,723.94
  6. Step 6: Final answer
    x = 11,890.44

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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.