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Finding the Fourth Proportional to 22,466.75, 31,005.83 and 12,397.13

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Solution

The fourth proportional to 22,466.75, 31,005.83 and 12,397.13 is: 17,108.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,466.75 : 31,005.83 = 12,397.13 : x
  2. Step 2: Convert to fraction form
    22,466.75/31,005.83 = 12,397.13/x
  3. Step 3: Cross multiply
    22,466.75x = 31,005.83 × 12,397.13
  4. Step 4: Simplify right side
    22,466.75x = 384,383,413.78
  5. Step 5: Solve for x
    x = 384,383,413.78/22,466.75
  6. Step 6: Final answer
    x = 17,108.99

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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.