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Finding the Fourth Proportional to 27,826.64, 38,402.57 and 15,251.38

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Solution

The fourth proportional to 27,826.64, 38,402.57 and 15,251.38 is: 21,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,826.64 : 38,402.57 = 15,251.38 : x
  2. Step 2: Convert to fraction form
    27,826.64/38,402.57 = 15,251.38/x
  3. Step 3: Cross multiply
    27,826.64x = 38,402.57 × 15,251.38
  4. Step 4: Simplify right side
    27,826.64x = 585,692,188.05
  5. Step 5: Solve for x
    x = 585,692,188.05/27,826.64
  6. Step 6: Final answer
    x = 21,047.89

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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.