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Finding the Fourth Proportional to 27,413.46, 37,830.66 and 14,838.21

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Solution

The fourth proportional to 27,413.46, 37,830.66 and 14,838.21 is: 20,476.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.46 : 37,830.66 = 14,838.21 : x
  2. Step 2: Convert to fraction form
    27,413.46/37,830.66 = 14,838.21/x
  3. Step 3: Cross multiply
    27,413.46x = 37,830.66 × 14,838.21
  4. Step 4: Simplify right side
    27,413.46x = 561,339,277.52
  5. Step 5: Solve for x
    x = 561,339,277.52/27,413.46
  6. Step 6: Final answer
    x = 20,476.78

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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.