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Finding the Fourth Proportional to 15,948.50, 23,905.94 and 5,408.57

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Solution

The fourth proportional to 15,948.50, 23,905.94 and 5,408.57 is: 8,107.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,948.50 : 23,905.94 = 5,408.57 : x
  2. Step 2: Convert to fraction form
    15,948.50/23,905.94 = 5,408.57/x
  3. Step 3: Cross multiply
    15,948.50x = 23,905.94 × 5,408.57
  4. Step 4: Simplify right side
    15,948.50x = 129,296,982.63
  5. Step 5: Solve for x
    x = 129,296,982.63/15,948.50
  6. Step 6: Final answer
    x = 8,107.16

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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.