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Finding the Fourth Proportional to 27,282.41, 40,911.69 and 13,765.27

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Solution

The fourth proportional to 27,282.41, 40,911.69 and 13,765.27 is: 20,641.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,282.41 : 40,911.69 = 13,765.27 : x
  2. Step 2: Convert to fraction form
    27,282.41/40,911.69 = 13,765.27/x
  3. Step 3: Cross multiply
    27,282.41x = 40,911.69 × 13,765.27
  4. Step 4: Simplify right side
    27,282.41x = 563,160,459.01
  5. Step 5: Solve for x
    x = 563,160,459.01/27,282.41
  6. Step 6: Final answer
    x = 20,641.89

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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.