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Finding the Fourth Proportional to 14,413.24, 19,891.02 and 8,126.20

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Solution

The fourth proportional to 14,413.24, 19,891.02 and 8,126.20 is: 11,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.24 : 19,891.02 = 8,126.20 : x
  2. Step 2: Convert to fraction form
    14,413.24/19,891.02 = 8,126.20/x
  3. Step 3: Cross multiply
    14,413.24x = 19,891.02 × 8,126.20
  4. Step 4: Simplify right side
    14,413.24x = 161,638,406.72
  5. Step 5: Solve for x
    x = 161,638,406.72/14,413.24
  6. Step 6: Final answer
    x = 11,214.58

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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.