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Finding the Fourth Proportional to 27,197.37, 40,798.03 and 11,386.50

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Solution

The fourth proportional to 27,197.37, 40,798.03 and 11,386.50 is: 17,080.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.37 : 40,798.03 = 11,386.50 : x
  2. Step 2: Convert to fraction form
    27,197.37/40,798.03 = 11,386.50/x
  3. Step 3: Cross multiply
    27,197.37x = 40,798.03 × 11,386.50
  4. Step 4: Simplify right side
    27,197.37x = 464,546,782.83
  5. Step 5: Solve for x
    x = 464,546,782.83/27,197.37
  6. Step 6: Final answer
    x = 17,080.58

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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.