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Finding the Fourth Proportional to 27,656.42, 38,155.02 and 17,027.60

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Solution

The fourth proportional to 27,656.42, 38,155.02 and 17,027.60 is: 23,491.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,656.42 : 38,155.02 = 17,027.60 : x
  2. Step 2: Convert to fraction form
    27,656.42/38,155.02 = 17,027.60/x
  3. Step 3: Cross multiply
    27,656.42x = 38,155.02 × 17,027.60
  4. Step 4: Simplify right side
    27,656.42x = 649,688,418.55
  5. Step 5: Solve for x
    x = 649,688,418.55/27,656.42
  6. Step 6: Final answer
    x = 23,491.41

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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.