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Finding the Fourth Proportional to 27,240, 37,591.20 and 17,321.28

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Solution

The fourth proportional to 27,240, 37,591.20 and 17,321.28 is: 23,903.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,240 : 37,591.20 = 17,321.28 : x
  2. Step 2: Convert to fraction form
    27,240/37,591.20 = 17,321.28/x
  3. Step 3: Cross multiply
    27,240x = 37,591.20 × 17,321.28
  4. Step 4: Simplify right side
    27,240x = 651,127,700.74
  5. Step 5: Solve for x
    x = 651,127,700.74/27,240
  6. Step 6: Final answer
    x = 23,903.37

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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.