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Finding the Fourth Proportional to 21,496.87, 32,257.86 and 9,015.94

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Solution

The fourth proportional to 21,496.87, 32,257.86 and 9,015.94 is: 13,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,496.87 : 32,257.86 = 9,015.94 : x
  2. Step 2: Convert to fraction form
    21,496.87/32,257.86 = 9,015.94/x
  3. Step 3: Cross multiply
    21,496.87x = 32,257.86 × 9,015.94
  4. Step 4: Simplify right side
    21,496.87x = 290,834,930.29
  5. Step 5: Solve for x
    x = 290,834,930.29/21,496.87
  6. Step 6: Final answer
    x = 13,529.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.