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Finding the Fourth Proportional to 12,461.23, 17,202.81 and 8,215.08

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Solution

The fourth proportional to 12,461.23, 17,202.81 and 8,215.08 is: 11,340.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461.23 : 17,202.81 = 8,215.08 : x
  2. Step 2: Convert to fraction form
    12,461.23/17,202.81 = 8,215.08/x
  3. Step 3: Cross multiply
    12,461.23x = 17,202.81 × 8,215.08
  4. Step 4: Simplify right side
    12,461.23x = 141,322,460.37
  5. Step 5: Solve for x
    x = 141,322,460.37/12,461.23
  6. Step 6: Final answer
    x = 11,340.97

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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.