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Finding the Fourth Proportional to 12,484.60, 17,224.57 and 8,237.77

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Solution

The fourth proportional to 12,484.60, 17,224.57 and 8,237.77 is: 11,365.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.60 : 17,224.57 = 8,237.77 : x
  2. Step 2: Convert to fraction form
    12,484.60/17,224.57 = 8,237.77/x
  3. Step 3: Cross multiply
    12,484.60x = 17,224.57 × 8,237.77
  4. Step 4: Simplify right side
    12,484.60x = 141,892,046.01
  5. Step 5: Solve for x
    x = 141,892,046.01/12,484.60
  6. Step 6: Final answer
    x = 11,365.37

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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.