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Finding the Fourth Proportional to 21,449.33, 32,178.29 and 7,409.87

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Solution

The fourth proportional to 21,449.33, 32,178.29 and 7,409.87 is: 11,116.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,449.33 : 32,178.29 = 7,409.87 : x
  2. Step 2: Convert to fraction form
    21,449.33/32,178.29 = 7,409.87/x
  3. Step 3: Cross multiply
    21,449.33x = 32,178.29 × 7,409.87
  4. Step 4: Simplify right side
    21,449.33x = 238,436,747.78
  5. Step 5: Solve for x
    x = 238,436,747.78/21,449.33
  6. Step 6: Final answer
    x = 11,116.28

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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.