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Finding the Fourth Proportional to 27,792.76, 38,360.76 and 17,176

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Solution

The fourth proportional to 27,792.76, 38,360.76 and 17,176 is: 23,707.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,792.76 : 38,360.76 = 17,176 : x
  2. Step 2: Convert to fraction form
    27,792.76/38,360.76 = 17,176/x
  3. Step 3: Cross multiply
    27,792.76x = 38,360.76 × 17,176
  4. Step 4: Simplify right side
    27,792.76x = 658,884,413.76
  5. Step 5: Solve for x
    x = 658,884,413.76/27,792.76
  6. Step 6: Final answer
    x = 23,707.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.