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Finding the Fourth Proportional to 17,413.70, 26,097.71 and 8,052.48

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Solution

The fourth proportional to 17,413.70, 26,097.71 and 8,052.48 is: 12,068.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,413.70 : 26,097.71 = 8,052.48 : x
  2. Step 2: Convert to fraction form
    17,413.70/26,097.71 = 8,052.48/x
  3. Step 3: Cross multiply
    17,413.70x = 26,097.71 × 8,052.48
  4. Step 4: Simplify right side
    17,413.70x = 210,151,247.56
  5. Step 5: Solve for x
    x = 210,151,247.56/17,413.70
  6. Step 6: Final answer
    x = 12,068.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.