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Finding the Fourth Proportional to 12,254.32, 16,906.38 and 7,215.46

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Solution

The fourth proportional to 12,254.32, 16,906.38 and 7,215.46 is: 9,954.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,254.32 : 16,906.38 = 7,215.46 : x
  2. Step 2: Convert to fraction form
    12,254.32/16,906.38 = 7,215.46/x
  3. Step 3: Cross multiply
    12,254.32x = 16,906.38 × 7,215.46
  4. Step 4: Simplify right side
    12,254.32x = 121,987,308.63
  5. Step 5: Solve for x
    x = 121,987,308.63/12,254.32
  6. Step 6: Final answer
    x = 9,954.64

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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.