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Finding the Fourth Proportional to 21,744.96, 32,613.12 and 7,889.28

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Solution

The fourth proportional to 21,744.96, 32,613.12 and 7,889.28 is: 11,832.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,744.96 : 32,613.12 = 7,889.28 : x
  2. Step 2: Convert to fraction form
    21,744.96/32,613.12 = 7,889.28/x
  3. Step 3: Cross multiply
    21,744.96x = 32,613.12 × 7,889.28
  4. Step 4: Simplify right side
    21,744.96x = 257,294,035.35
  5. Step 5: Solve for x
    x = 257,294,035.35/21,744.96
  6. Step 6: Final answer
    x = 11,832.35

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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.