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Finding the Fourth Proportional to 27,562.84, 41,352.11 and 13,527.08

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Solution

The fourth proportional to 27,562.84, 41,352.11 and 13,527.08 is: 20,294.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.84 : 41,352.11 = 13,527.08 : x
  2. Step 2: Convert to fraction form
    27,562.84/41,352.11 = 13,527.08/x
  3. Step 3: Cross multiply
    27,562.84x = 41,352.11 × 13,527.08
  4. Step 4: Simplify right side
    27,562.84x = 559,373,335.88
  5. Step 5: Solve for x
    x = 559,373,335.88/27,562.84
  6. Step 6: Final answer
    x = 20,294.48

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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.