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Finding the Fourth Proportional to 21,211.80, 31,817.54 and 8,891.16

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Solution

The fourth proportional to 21,211.80, 31,817.54 and 8,891.16 is: 13,336.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,211.80 : 31,817.54 = 8,891.16 : x
  2. Step 2: Convert to fraction form
    21,211.80/31,817.54 = 8,891.16/x
  3. Step 3: Cross multiply
    21,211.80x = 31,817.54 × 8,891.16
  4. Step 4: Simplify right side
    21,211.80x = 282,894,838.95
  5. Step 5: Solve for x
    x = 282,894,838.95/21,211.80
  6. Step 6: Final answer
    x = 13,336.67

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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.