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Finding the Fourth Proportional to 12,505.62, 17,237.73 and 8,471.22

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Solution

The fourth proportional to 12,505.62, 17,237.73 and 8,471.22 is: 11,676.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,505.62 : 17,237.73 = 8,471.22 : x
  2. Step 2: Convert to fraction form
    12,505.62/17,237.73 = 8,471.22/x
  3. Step 3: Cross multiply
    12,505.62x = 17,237.73 × 8,471.22
  4. Step 4: Simplify right side
    12,505.62x = 146,024,603.13
  5. Step 5: Solve for x
    x = 146,024,603.13/12,505.62
  6. Step 6: Final answer
    x = 11,676.72

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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.