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Finding the Fourth Proportional to 17,696.71, 24,413.29 and 11,411.11

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Solution

The fourth proportional to 17,696.71, 24,413.29 and 11,411.11 is: 15,742.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,696.71 : 24,413.29 = 11,411.11 : x
  2. Step 2: Convert to fraction form
    17,696.71/24,413.29 = 11,411.11/x
  3. Step 3: Cross multiply
    17,696.71x = 24,413.29 × 11,411.11
  4. Step 4: Simplify right side
    17,696.71x = 278,582,737.65
  5. Step 5: Solve for x
    x = 278,582,737.65/17,696.71
  6. Step 6: Final answer
    x = 15,742.06

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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.