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Finding the Fourth Proportional to 13,161.78, 18,154.77 and 7,852.50

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Solution

The fourth proportional to 13,161.78, 18,154.77 and 7,852.50 is: 10,831.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,161.78 : 18,154.77 = 7,852.50 : x
  2. Step 2: Convert to fraction form
    13,161.78/18,154.77 = 7,852.50/x
  3. Step 3: Cross multiply
    13,161.78x = 18,154.77 × 7,852.50
  4. Step 4: Simplify right side
    13,161.78x = 142,560,331.43
  5. Step 5: Solve for x
    x = 142,560,331.43/13,161.78
  6. Step 6: Final answer
    x = 10,831.39

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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.