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Finding the Fourth Proportional to 21,405.96, 32,109.03 and 5,823.57

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Solution

The fourth proportional to 21,405.96, 32,109.03 and 5,823.57 is: 8,735.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,405.96 : 32,109.03 = 5,823.57 : x
  2. Step 2: Convert to fraction form
    21,405.96/32,109.03 = 5,823.57/x
  3. Step 3: Cross multiply
    21,405.96x = 32,109.03 × 5,823.57
  4. Step 4: Simplify right side
    21,405.96x = 186,989,183.84
  5. Step 5: Solve for x
    x = 186,989,183.84/21,405.96
  6. Step 6: Final answer
    x = 8,735.38

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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.