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Finding the Fourth Proportional to 12,461, 17,196.18 and 7,493

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Solution

The fourth proportional to 12,461, 17,196.18 and 7,493 is: 10,340.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,461 : 17,196.18 = 7,493 : x
  2. Step 2: Convert to fraction form
    12,461/17,196.18 = 7,493/x
  3. Step 3: Cross multiply
    12,461x = 17,196.18 × 7,493
  4. Step 4: Simplify right side
    12,461x = 128,850,976.74
  5. Step 5: Solve for x
    x = 128,850,976.74/12,461
  6. Step 6: Final answer
    x = 10,340.34

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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.