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Finding the Fourth Proportional to 27,423.76, 37,808.19 and 21,777.20

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Solution

The fourth proportional to 27,423.76, 37,808.19 and 21,777.20 is: 30,023.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,423.76 : 37,808.19 = 21,777.20 : x
  2. Step 2: Convert to fraction form
    27,423.76/37,808.19 = 21,777.20/x
  3. Step 3: Cross multiply
    27,423.76x = 37,808.19 × 21,777.20
  4. Step 4: Simplify right side
    27,423.76x = 823,356,515.27
  5. Step 5: Solve for x
    x = 823,356,515.27/27,423.76
  6. Step 6: Final answer
    x = 30,023.47

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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.