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Finding the Fourth Proportional to 27,709.92, 38,238 and 15,133.92

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Solution

The fourth proportional to 27,709.92, 38,238 and 15,133.92 is: 20,883.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.92 : 38,238 = 15,133.92 : x
  2. Step 2: Convert to fraction form
    27,709.92/38,238 = 15,133.92/x
  3. Step 3: Cross multiply
    27,709.92x = 38,238 × 15,133.92
  4. Step 4: Simplify right side
    27,709.92x = 578,690,832.96
  5. Step 5: Solve for x
    x = 578,690,832.96/27,709.92
  6. Step 6: Final answer
    x = 20,883.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.