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Finding the Fourth Proportional to 12,572.90, 17,349.82 and 7,266.86

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Solution

The fourth proportional to 12,572.90, 17,349.82 and 7,266.86 is: 10,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,572.90 : 17,349.82 = 7,266.86 : x
  2. Step 2: Convert to fraction form
    12,572.90/17,349.82 = 7,266.86/x
  3. Step 3: Cross multiply
    12,572.90x = 17,349.82 × 7,266.86
  4. Step 4: Simplify right side
    12,572.90x = 126,078,608.05
  5. Step 5: Solve for x
    x = 126,078,608.05/12,572.90
  6. Step 6: Final answer
    x = 10,027.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.