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Finding the Fourth Proportional to 12,347.59, 17,039.54 and 6,682.22

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Solution

The fourth proportional to 12,347.59, 17,039.54 and 6,682.22 is: 9,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,347.59 : 17,039.54 = 6,682.22 : x
  2. Step 2: Convert to fraction form
    12,347.59/17,039.54 = 6,682.22/x
  3. Step 3: Cross multiply
    12,347.59x = 17,039.54 × 6,682.22
  4. Step 4: Simplify right side
    12,347.59x = 113,861,886.49
  5. Step 5: Solve for x
    x = 113,861,886.49/12,347.59
  6. Step 6: Final answer
    x = 9,221.39

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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.