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Finding the Fourth Proportional to 27,676.76, 38,202.06 and 15,746.76

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Solution

The fourth proportional to 27,676.76, 38,202.06 and 15,746.76 is: 21,735.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,676.76 : 38,202.06 = 15,746.76 : x
  2. Step 2: Convert to fraction form
    27,676.76/38,202.06 = 15,746.76/x
  3. Step 3: Cross multiply
    27,676.76x = 38,202.06 × 15,746.76
  4. Step 4: Simplify right side
    27,676.76x = 601,558,670.33
  5. Step 5: Solve for x
    x = 601,558,670.33/27,676.76
  6. Step 6: Final answer
    x = 21,735.16

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1.5x scale

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.