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Finding the Fourth Proportional to 14,065.92, 19,413.81 and 9,277.47

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Solution

The fourth proportional to 14,065.92, 19,413.81 and 9,277.47 is: 12,804.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.92 : 19,413.81 = 9,277.47 : x
  2. Step 2: Convert to fraction form
    14,065.92/19,413.81 = 9,277.47/x
  3. Step 3: Cross multiply
    14,065.92x = 19,413.81 × 9,277.47
  4. Step 4: Simplify right side
    14,065.92x = 180,111,039.86
  5. Step 5: Solve for x
    x = 180,111,039.86/14,065.92
  6. Step 6: Final answer
    x = 12,804.78

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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.