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Finding the Fourth Proportional to 27,774, 38,328.93 and 15,199.56

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Solution

The fourth proportional to 27,774, 38,328.93 and 15,199.56 is: 20,975.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,774 : 38,328.93 = 15,199.56 : x
  2. Step 2: Convert to fraction form
    27,774/38,328.93 = 15,199.56/x
  3. Step 3: Cross multiply
    27,774x = 38,328.93 × 15,199.56
  4. Step 4: Simplify right side
    27,774x = 582,582,871.27
  5. Step 5: Solve for x
    x = 582,582,871.27/27,774
  6. Step 6: Final answer
    x = 20,975.84

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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.