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Finding the Fourth Proportional to 21,744.24, 32,616.36 and 7,894.32

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Solution

The fourth proportional to 21,744.24, 32,616.36 and 7,894.32 is: 11,841.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.24 : 32,616.36 = 7,894.32 : x
  2. Step 2: Convert to fraction form
    21,744.24/32,616.36 = 7,894.32/x
  3. Step 3: Cross multiply
    21,744.24x = 32,616.36 × 7,894.32
  4. Step 4: Simplify right side
    21,744.24x = 257,483,983.08
  5. Step 5: Solve for x
    x = 257,483,983.08/21,744.24
  6. Step 6: Final answer
    x = 11,841.48

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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.