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Finding the Fourth Proportional to 13,003.50, 19,456.48 and 7,719.16

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Solution

The fourth proportional to 13,003.50, 19,456.48 and 7,719.16 is: 11,549.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,003.50 : 19,456.48 = 7,719.16 : x
  2. Step 2: Convert to fraction form
    13,003.50/19,456.48 = 7,719.16/x
  3. Step 3: Cross multiply
    13,003.50x = 19,456.48 × 7,719.16
  4. Step 4: Simplify right side
    13,003.50x = 150,187,682.16
  5. Step 5: Solve for x
    x = 150,187,682.16/13,003.50
  6. Step 6: Final answer
    x = 11,549.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.