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Finding the Fourth Proportional to 12,024.06, 18,046.89 and 7,876.86

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Solution

The fourth proportional to 12,024.06, 18,046.89 and 7,876.86 is: 11,822.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,024.06 : 18,046.89 = 7,876.86 : x
  2. Step 2: Convert to fraction form
    12,024.06/18,046.89 = 7,876.86/x
  3. Step 3: Cross multiply
    12,024.06x = 18,046.89 × 7,876.86
  4. Step 4: Simplify right side
    12,024.06x = 142,152,825.97
  5. Step 5: Solve for x
    x = 142,152,825.97/12,024.06
  6. Step 6: Final answer
    x = 11,822.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.