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Finding the Fourth Proportional to 12,997.35, 17,931.53 and 8,523.59

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Solution

The fourth proportional to 12,997.35, 17,931.53 and 8,523.59 is: 11,759.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,997.35 : 17,931.53 = 8,523.59 : x
  2. Step 2: Convert to fraction form
    12,997.35/17,931.53 = 8,523.59/x
  3. Step 3: Cross multiply
    12,997.35x = 17,931.53 × 8,523.59
  4. Step 4: Simplify right side
    12,997.35x = 152,840,941.44
  5. Step 5: Solve for x
    x = 152,840,941.44/12,997.35
  6. Step 6: Final answer
    x = 11,759.39

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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.