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Finding the Fourth Proportional to 11,947.46, 17,924.22 and 7,021.28

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Solution

The fourth proportional to 11,947.46, 17,924.22 and 7,021.28 is: 10,533.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,947.46 : 17,924.22 = 7,021.28 : x
  2. Step 2: Convert to fraction form
    11,947.46/17,924.22 = 7,021.28/x
  3. Step 3: Cross multiply
    11,947.46x = 17,924.22 × 7,021.28
  4. Step 4: Simplify right side
    11,947.46x = 125,850,967.40
  5. Step 5: Solve for x
    x = 125,850,967.40/11,947.46
  6. Step 6: Final answer
    x = 10,533.70

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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.