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Finding the Fourth Proportional to 27,521.70, 41,274.45 and 7,801.98

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Solution

The fourth proportional to 27,521.70, 41,274.45 and 7,801.98 is: 11,700.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,521.70 : 41,274.45 = 7,801.98 : x
  2. Step 2: Convert to fraction form
    27,521.70/41,274.45 = 7,801.98/x
  3. Step 3: Cross multiply
    27,521.70x = 41,274.45 × 7,801.98
  4. Step 4: Simplify right side
    27,521.70x = 322,022,433.41
  5. Step 5: Solve for x
    x = 322,022,433.41/27,521.70
  6. Step 6: Final answer
    x = 11,700.67

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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.