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Finding the Fourth Proportional to 13,462.24, 18,562 and 9,215.36

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Solution

The fourth proportional to 13,462.24, 18,562 and 9,215.36 is: 12,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,462.24 : 18,562 = 9,215.36 : x
  2. Step 2: Convert to fraction form
    13,462.24/18,562 = 9,215.36/x
  3. Step 3: Cross multiply
    13,462.24x = 18,562 × 9,215.36
  4. Step 4: Simplify right side
    13,462.24x = 171,055,512.32
  5. Step 5: Solve for x
    x = 171,055,512.32/13,462.24
  6. Step 6: Final answer
    x = 12,706.32

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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.