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Finding the Fourth Proportional to 27,413.76, 37,830.98 and 14,838.50

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Solution

The fourth proportional to 27,413.76, 37,830.98 and 14,838.50 is: 20,477.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.76 : 37,830.98 = 14,838.50 : x
  2. Step 2: Convert to fraction form
    27,413.76/37,830.98 = 14,838.50/x
  3. Step 3: Cross multiply
    27,413.76x = 37,830.98 × 14,838.50
  4. Step 4: Simplify right side
    27,413.76x = 561,354,996.73
  5. Step 5: Solve for x
    x = 561,354,996.73/27,413.76
  6. Step 6: Final answer
    x = 20,477.13

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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.