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Finding the Fourth Proportional to 27,723, 38,257.98 and 15,147.75

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Solution

The fourth proportional to 27,723, 38,257.98 and 15,147.75 is: 20,904.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723 : 38,257.98 = 15,147.75 : x
  2. Step 2: Convert to fraction form
    27,723/38,257.98 = 15,147.75/x
  3. Step 3: Cross multiply
    27,723x = 38,257.98 × 15,147.75
  4. Step 4: Simplify right side
    27,723x = 579,522,316.55
  5. Step 5: Solve for x
    x = 579,522,316.55/27,723
  6. Step 6: Final answer
    x = 20,904.03

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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.