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Finding the Fourth Proportional to 27,620.74, 41,401.27 and 13,564.42

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Solution

The fourth proportional to 27,620.74, 41,401.27 and 13,564.42 is: 20,331.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,620.74 : 41,401.27 = 13,564.42 : x
  2. Step 2: Convert to fraction form
    27,620.74/41,401.27 = 13,564.42/x
  3. Step 3: Cross multiply
    27,620.74x = 41,401.27 × 13,564.42
  4. Step 4: Simplify right side
    27,620.74x = 561,584,214.81
  5. Step 5: Solve for x
    x = 561,584,214.81/27,620.74
  6. Step 6: Final answer
    x = 20,331.98

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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.