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Finding the Fourth Proportional to 15,616.32, 23,433.70 and 5,762.48

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Solution

The fourth proportional to 15,616.32, 23,433.70 and 5,762.48 is: 8,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,616.32 : 23,433.70 = 5,762.48 : x
  2. Step 2: Convert to fraction form
    15,616.32/23,433.70 = 5,762.48/x
  3. Step 3: Cross multiply
    15,616.32x = 23,433.70 × 5,762.48
  4. Step 4: Simplify right side
    15,616.32x = 135,036,227.58
  5. Step 5: Solve for x
    x = 135,036,227.58/15,616.32
  6. Step 6: Final answer
    x = 8,647.12

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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.