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Finding the Fourth Proportional to 13,072, 19,610.16 and 3,840.16

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Solution

The fourth proportional to 13,072, 19,610.16 and 3,840.16 is: 5,760.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,072 : 19,610.16 = 3,840.16 : x
  2. Step 2: Convert to fraction form
    13,072/19,610.16 = 3,840.16/x
  3. Step 3: Cross multiply
    13,072x = 19,610.16 × 3,840.16
  4. Step 4: Simplify right side
    13,072x = 75,306,152.03
  5. Step 5: Solve for x
    x = 75,306,152.03/13,072
  6. Step 6: Final answer
    x = 5,760.87

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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.