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Finding the Fourth Proportional to 15,638.92, 23,455.14 and 5,771.45

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Solution

The fourth proportional to 15,638.92, 23,455.14 and 5,771.45 is: 8,655.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,638.92 : 23,455.14 = 5,771.45 : x
  2. Step 2: Convert to fraction form
    15,638.92/23,455.14 = 5,771.45/x
  3. Step 3: Cross multiply
    15,638.92x = 23,455.14 × 5,771.45
  4. Step 4: Simplify right side
    15,638.92x = 135,370,167.75
  5. Step 5: Solve for x
    x = 135,370,167.75/15,638.92
  6. Step 6: Final answer
    x = 8,655.98

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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.