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Finding the Fourth Proportional to 13,350, 20,012.48 and 6,233.84

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Solution

The fourth proportional to 13,350, 20,012.48 and 6,233.84 is: 9,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,350 : 20,012.48 = 6,233.84 : x
  2. Step 2: Convert to fraction form
    13,350/20,012.48 = 6,233.84/x
  3. Step 3: Cross multiply
    13,350x = 20,012.48 × 6,233.84
  4. Step 4: Simplify right side
    13,350x = 124,754,598.32
  5. Step 5: Solve for x
    x = 124,754,598.32/13,350
  6. Step 6: Final answer
    x = 9,344.91

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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.