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Finding the Fourth Proportional to 21,947.34, 32,924.52 and 7,155.12

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Solution

The fourth proportional to 21,947.34, 32,924.52 and 7,155.12 is: 10,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,947.34 : 32,924.52 = 7,155.12 : x
  2. Step 2: Convert to fraction form
    21,947.34/32,924.52 = 7,155.12/x
  3. Step 3: Cross multiply
    21,947.34x = 32,924.52 × 7,155.12
  4. Step 4: Simplify right side
    21,947.34x = 235,578,891.54
  5. Step 5: Solve for x
    x = 235,578,891.54/21,947.34
  6. Step 6: Final answer
    x = 10,733.82

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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.