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Finding the Fourth Proportional to 23,468.46, 35,206.32 and 7,889.76

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Solution

The fourth proportional to 23,468.46, 35,206.32 and 7,889.76 is: 11,835.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,468.46 : 35,206.32 = 7,889.76 : x
  2. Step 2: Convert to fraction form
    23,468.46/35,206.32 = 7,889.76/x
  3. Step 3: Cross multiply
    23,468.46x = 35,206.32 × 7,889.76
  4. Step 4: Simplify right side
    23,468.46x = 277,769,415.28
  5. Step 5: Solve for x
    x = 277,769,415.28/23,468.46
  6. Step 6: Final answer
    x = 11,835.86

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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.