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Finding the Fourth Proportional to 15,616.35, 23,433.68 and 5,762.49

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Solution

The fourth proportional to 15,616.35, 23,433.68 and 5,762.49 is: 8,647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.35 : 23,433.68 = 5,762.49 : x
  2. Step 2: Convert to fraction form
    15,616.35/23,433.68 = 5,762.49/x
  3. Step 3: Cross multiply
    15,616.35x = 23,433.68 × 5,762.49
  4. Step 4: Simplify right side
    15,616.35x = 135,036,317.85
  5. Step 5: Solve for x
    x = 135,036,317.85/15,616.35
  6. Step 6: Final answer
    x = 8,647.11

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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.