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Finding the Fourth Proportional to 17,705.80, 26,552.50 and 5,222.51

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Solution

The fourth proportional to 17,705.80, 26,552.50 and 5,222.51 is: 7,831.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,705.80 : 26,552.50 = 5,222.51 : x
  2. Step 2: Convert to fraction form
    17,705.80/26,552.50 = 5,222.51/x
  3. Step 3: Cross multiply
    17,705.80x = 26,552.50 × 5,222.51
  4. Step 4: Simplify right side
    17,705.80x = 138,670,696.78
  5. Step 5: Solve for x
    x = 138,670,696.78/17,705.80
  6. Step 6: Final answer
    x = 7,831.94

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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.