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Finding the Fourth Proportional to 27,820.76, 38,397.99 and 21,758.96

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Solution

The fourth proportional to 27,820.76, 38,397.99 and 21,758.96 is: 30,031.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,820.76 : 38,397.99 = 21,758.96 : x
  2. Step 2: Convert to fraction form
    27,820.76/38,397.99 = 21,758.96/x
  3. Step 3: Cross multiply
    27,820.76x = 38,397.99 × 21,758.96
  4. Step 4: Simplify right side
    27,820.76x = 835,500,136.50
  5. Step 5: Solve for x
    x = 835,500,136.50/27,820.76
  6. Step 6: Final answer
    x = 30,031.54

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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.