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Finding the Fourth Proportional to 27,413.46, 37,830.54 and 14,838.18

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Solution

The fourth proportional to 27,413.46, 37,830.54 and 14,838.18 is: 20,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,413.46 : 37,830.54 = 14,838.18 : x
  2. Step 2: Convert to fraction form
    27,413.46/37,830.54 = 14,838.18/x
  3. Step 3: Cross multiply
    27,413.46x = 37,830.54 × 14,838.18
  4. Step 4: Simplify right side
    27,413.46x = 561,336,362.02
  5. Step 5: Solve for x
    x = 561,336,362.02/27,413.46
  6. Step 6: Final answer
    x = 20,476.67

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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.