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Finding the Fourth Proportional to 27,723, 38,257.74 and 15,147.84

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Solution

The fourth proportional to 27,723, 38,257.74 and 15,147.84 is: 20,904.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,723 : 38,257.74 = 15,147.84 : x
  2. Step 2: Convert to fraction form
    27,723/38,257.74 = 15,147.84/x
  3. Step 3: Cross multiply
    27,723x = 38,257.74 × 15,147.84
  4. Step 4: Simplify right side
    27,723x = 579,522,124.28
  5. Step 5: Solve for x
    x = 579,522,124.28/27,723
  6. Step 6: Final answer
    x = 20,904.02

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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.