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Finding the Fourth Proportional to 14,071.05, 19,413.87 and 8,102.57

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Solution

The fourth proportional to 14,071.05, 19,413.87 and 8,102.57 is: 11,179.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,071.05 : 19,413.87 = 8,102.57 : x
  2. Step 2: Convert to fraction form
    14,071.05/19,413.87 = 8,102.57/x
  3. Step 3: Cross multiply
    14,071.05x = 19,413.87 × 8,102.57
  4. Step 4: Simplify right side
    14,071.05x = 157,302,143.58
  5. Step 5: Solve for x
    x = 157,302,143.58/14,071.05
  6. Step 6: Final answer
    x = 11,179.13

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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.