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Finding the Fourth Proportional to 14,413.38, 19,890.59 and 8,039.76

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Solution

The fourth proportional to 14,413.38, 19,890.59 and 8,039.76 is: 11,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.38 : 19,890.59 = 8,039.76 : x
  2. Step 2: Convert to fraction form
    14,413.38/19,890.59 = 8,039.76/x
  3. Step 3: Cross multiply
    14,413.38x = 19,890.59 × 8,039.76
  4. Step 4: Simplify right side
    14,413.38x = 159,915,569.86
  5. Step 5: Solve for x
    x = 159,915,569.86/14,413.38
  6. Step 6: Final answer
    x = 11,094.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.