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Finding the Fourth Proportional to 27,709.96, 38,239.98 and 15,774.06

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Solution

The fourth proportional to 27,709.96, 38,239.98 and 15,774.06 is: 21,768.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.96 : 38,239.98 = 15,774.06 : x
  2. Step 2: Convert to fraction form
    27,709.96/38,239.98 = 15,774.06/x
  3. Step 3: Cross multiply
    27,709.96x = 38,239.98 × 15,774.06
  4. Step 4: Simplify right side
    27,709.96x = 603,199,738.92
  5. Step 5: Solve for x
    x = 603,199,738.92/27,709.96
  6. Step 6: Final answer
    x = 21,768.34

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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.