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Finding the Fourth Proportional to 27,697.77, 38,222.69 and 15,122.25

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Solution

The fourth proportional to 27,697.77, 38,222.69 and 15,122.25 is: 20,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.77 : 38,222.69 = 15,122.25 : x
  2. Step 2: Convert to fraction form
    27,697.77/38,222.69 = 15,122.25/x
  3. Step 3: Cross multiply
    27,697.77x = 38,222.69 × 15,122.25
  4. Step 4: Simplify right side
    27,697.77x = 578,012,998.24
  5. Step 5: Solve for x
    x = 578,012,998.24/27,697.77
  6. Step 6: Final answer
    x = 20,868.58

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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.