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Finding the Fourth Proportional to 13,300, 18,355.28 and 7,412

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Solution

The fourth proportional to 13,300, 18,355.28 and 7,412 is: 10,229.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,300 : 18,355.28 = 7,412 : x
  2. Step 2: Convert to fraction form
    13,300/18,355.28 = 7,412/x
  3. Step 3: Cross multiply
    13,300x = 18,355.28 × 7,412
  4. Step 4: Simplify right side
    13,300x = 136,049,335.36
  5. Step 5: Solve for x
    x = 136,049,335.36/13,300
  6. Step 6: Final answer
    x = 10,229.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.