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Finding the Fourth Proportional to 12,413.38, 18,602.70 and 9,626.98

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Solution

The fourth proportional to 12,413.38, 18,602.70 and 9,626.98 is: 14,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.38 : 18,602.70 = 9,626.98 : x
  2. Step 2: Convert to fraction form
    12,413.38/18,602.70 = 9,626.98/x
  3. Step 3: Cross multiply
    12,413.38x = 18,602.70 × 9,626.98
  4. Step 4: Simplify right side
    12,413.38x = 179,087,820.85
  5. Step 5: Solve for x
    x = 179,087,820.85/12,413.38
  6. Step 6: Final answer
    x = 14,427.00

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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.