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Finding the Fourth Proportional to 13,014.27, 19,522.62 and 4,250.07

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Solution

The fourth proportional to 13,014.27, 19,522.62 and 4,250.07 is: 6,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,014.27 : 19,522.62 = 4,250.07 : x
  2. Step 2: Convert to fraction form
    13,014.27/19,522.62 = 4,250.07/x
  3. Step 3: Cross multiply
    13,014.27x = 19,522.62 × 4,250.07
  4. Step 4: Simplify right side
    13,014.27x = 82,972,501.58
  5. Step 5: Solve for x
    x = 82,972,501.58/13,014.27
  6. Step 6: Final answer
    x = 6,375.50

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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.