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Finding the Fourth Proportional to 21,504.55, 32,257.37 and 10,409.17

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Solution

The fourth proportional to 21,504.55, 32,257.37 and 10,409.17 is: 15,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,504.55 : 32,257.37 = 10,409.17 : x
  2. Step 2: Convert to fraction form
    21,504.55/32,257.37 = 10,409.17/x
  3. Step 3: Cross multiply
    21,504.55x = 32,257.37 × 10,409.17
  4. Step 4: Simplify right side
    21,504.55x = 335,772,448.08
  5. Step 5: Solve for x
    x = 335,772,448.08/21,504.55
  6. Step 6: Final answer
    x = 15,614.02

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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.