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Finding the Fourth Proportional to 14,413.86, 19,889.64 and 10,639.02

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Solution

The fourth proportional to 14,413.86, 19,889.64 and 10,639.02 is: 14,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,413.86 : 19,889.64 = 10,639.02 : x
  2. Step 2: Convert to fraction form
    14,413.86/19,889.64 = 10,639.02/x
  3. Step 3: Cross multiply
    14,413.86x = 19,889.64 × 10,639.02
  4. Step 4: Simplify right side
    14,413.86x = 211,606,277.75
  5. Step 5: Solve for x
    x = 211,606,277.75/14,413.86
  6. Step 6: Final answer
    x = 14,680.75

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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.