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Finding the Fourth Proportional to 27,415.14, 41,122.74 and 21,184.23

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Solution

The fourth proportional to 27,415.14, 41,122.74 and 21,184.23 is: 31,776.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,415.14 : 41,122.74 = 21,184.23 : x
  2. Step 2: Convert to fraction form
    27,415.14/41,122.74 = 21,184.23/x
  3. Step 3: Cross multiply
    27,415.14x = 41,122.74 × 21,184.23
  4. Step 4: Simplify right side
    27,415.14x = 871,153,582.39
  5. Step 5: Solve for x
    x = 871,153,582.39/27,415.14
  6. Step 6: Final answer
    x = 31,776.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.