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Finding the Fourth Proportional to 27,697.21, 38,222.81 and 15,122.05

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Solution

The fourth proportional to 27,697.21, 38,222.81 and 15,122.05 is: 20,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.21 : 38,222.81 = 15,122.05 : x
  2. Step 2: Convert to fraction form
    27,697.21/38,222.81 = 15,122.05/x
  3. Step 3: Cross multiply
    27,697.21x = 38,222.81 × 15,122.05
  4. Step 4: Simplify right side
    27,697.21x = 578,007,168.35
  5. Step 5: Solve for x
    x = 578,007,168.35/27,697.21
  6. Step 6: Final answer
    x = 20,868.79

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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.