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Finding the Fourth Proportional to 27,692, 38,215.32 and 15,117.08

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Solution

The fourth proportional to 27,692, 38,215.32 and 15,117.08 is: 20,861.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692 : 38,215.32 = 15,117.08 : x
  2. Step 2: Convert to fraction form
    27,692/38,215.32 = 15,117.08/x
  3. Step 3: Cross multiply
    27,692x = 38,215.32 × 15,117.08
  4. Step 4: Simplify right side
    27,692x = 577,704,049.67
  5. Step 5: Solve for x
    x = 577,704,049.67/27,692
  6. Step 6: Final answer
    x = 20,861.77

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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.