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Finding the Fourth Proportional to 20,117.37, 27,743.80 and 12,564.39

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Solution

The fourth proportional to 20,117.37, 27,743.80 and 12,564.39 is: 17,327.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,117.37 : 27,743.80 = 12,564.39 : x
  2. Step 2: Convert to fraction form
    20,117.37/27,743.80 = 12,564.39/x
  3. Step 3: Cross multiply
    20,117.37x = 27,743.80 × 12,564.39
  4. Step 4: Simplify right side
    20,117.37x = 348,583,923.28
  5. Step 5: Solve for x
    x = 348,583,923.28/20,117.37
  6. Step 6: Final answer
    x = 17,327.51

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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.