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Finding the Fourth Proportional to 12,126.78, 16,735.20 and 7,413.66

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Solution

The fourth proportional to 12,126.78, 16,735.20 and 7,413.66 is: 10,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,126.78 : 16,735.20 = 7,413.66 : x
  2. Step 2: Convert to fraction form
    12,126.78/16,735.20 = 7,413.66/x
  3. Step 3: Cross multiply
    12,126.78x = 16,735.20 × 7,413.66
  4. Step 4: Simplify right side
    12,126.78x = 124,069,082.83
  5. Step 5: Solve for x
    x = 124,069,082.83/12,126.78
  6. Step 6: Final answer
    x = 10,231.00

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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.