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Finding the Fourth Proportional to 27,907.44, 38,512.28 and 15,332.20

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Solution

The fourth proportional to 27,907.44, 38,512.28 and 15,332.20 is: 21,158.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.44 : 38,512.28 = 15,332.20 : x
  2. Step 2: Convert to fraction form
    27,907.44/38,512.28 = 15,332.20/x
  3. Step 3: Cross multiply
    27,907.44x = 38,512.28 × 15,332.20
  4. Step 4: Simplify right side
    27,907.44x = 590,477,979.42
  5. Step 5: Solve for x
    x = 590,477,979.42/27,907.44
  6. Step 6: Final answer
    x = 21,158.44

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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.