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Finding the Fourth Proportional to 12,321.34, 17,003.45 and 6,656.09

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Solution

The fourth proportional to 12,321.34, 17,003.45 and 6,656.09 is: 9,185.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.34 : 17,003.45 = 6,656.09 : x
  2. Step 2: Convert to fraction form
    12,321.34/17,003.45 = 6,656.09/x
  3. Step 3: Cross multiply
    12,321.34x = 17,003.45 × 6,656.09
  4. Step 4: Simplify right side
    12,321.34x = 113,176,408.49
  5. Step 5: Solve for x
    x = 113,176,408.49/12,321.34
  6. Step 6: Final answer
    x = 9,185.40

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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.