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Finding the Fourth Proportional to 27,713.39, 41,596.00 and 13,689.25

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Solution

The fourth proportional to 27,713.39, 41,596.00 and 13,689.25 is: 20,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,713.39 : 41,596.00 = 13,689.25 : x
  2. Step 2: Convert to fraction form
    27,713.39/41,596.00 = 13,689.25/x
  3. Step 3: Cross multiply
    27,713.39x = 41,596.00 × 13,689.25
  4. Step 4: Simplify right side
    27,713.39x = 569,417,904.79
  5. Step 5: Solve for x
    x = 569,417,904.79/27,713.39
  6. Step 6: Final answer
    x = 20,546.67

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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.