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Finding the Fourth Proportional to 15,823.53, 23,734.44 and 8,032.14

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Solution

The fourth proportional to 15,823.53, 23,734.44 and 8,032.14 is: 12,047.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,823.53 : 23,734.44 = 8,032.14 : x
  2. Step 2: Convert to fraction form
    15,823.53/23,734.44 = 8,032.14/x
  3. Step 3: Cross multiply
    15,823.53x = 23,734.44 × 8,032.14
  4. Step 4: Simplify right side
    15,823.53x = 190,638,344.90
  5. Step 5: Solve for x
    x = 190,638,344.90/15,823.53
  6. Step 6: Final answer
    x = 12,047.78

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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.