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Finding the Fourth Proportional to 27,952.64, 38,575.34 and 15,206.54

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Solution

The fourth proportional to 27,952.64, 38,575.34 and 15,206.54 is: 20,985.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,952.64 : 38,575.34 = 15,206.54 : x
  2. Step 2: Convert to fraction form
    27,952.64/38,575.34 = 15,206.54/x
  3. Step 3: Cross multiply
    27,952.64x = 38,575.34 × 15,206.54
  4. Step 4: Simplify right side
    27,952.64x = 586,597,396.70
  5. Step 5: Solve for x
    x = 586,597,396.70/27,952.64
  6. Step 6: Final answer
    x = 20,985.40

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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.