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Finding the Fourth Proportional to 27,952.59, 38,575.28 and 15,206.49

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Solution

The fourth proportional to 27,952.59, 38,575.28 and 15,206.49 is: 20,985.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.59 : 38,575.28 = 15,206.49 : x
  2. Step 2: Convert to fraction form
    27,952.59/38,575.28 = 15,206.49/x
  3. Step 3: Cross multiply
    27,952.59x = 38,575.28 × 15,206.49
  4. Step 4: Simplify right side
    27,952.59x = 586,594,604.82
  5. Step 5: Solve for x
    x = 586,594,604.82/27,952.59
  6. Step 6: Final answer
    x = 20,985.34

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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.