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Finding the Fourth Proportional to 27,670.70, 38,188.84 and 15,735.83

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Solution

The fourth proportional to 27,670.70, 38,188.84 and 15,735.83 is: 21,717.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,670.70 : 38,188.84 = 15,735.83 : x
  2. Step 2: Convert to fraction form
    27,670.70/38,188.84 = 15,735.83/x
  3. Step 3: Cross multiply
    27,670.70x = 38,188.84 × 15,735.83
  4. Step 4: Simplify right side
    27,670.70x = 600,933,094.14
  5. Step 5: Solve for x
    x = 600,933,094.14/27,670.70
  6. Step 6: Final answer
    x = 21,717.31

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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.