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Finding the Fourth Proportional to 21,137.46, 31,706.12 and 6,346.38

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Solution

The fourth proportional to 21,137.46, 31,706.12 and 6,346.38 is: 9,519.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,137.46 : 31,706.12 = 6,346.38 : x
  2. Step 2: Convert to fraction form
    21,137.46/31,706.12 = 6,346.38/x
  3. Step 3: Cross multiply
    21,137.46x = 31,706.12 × 6,346.38
  4. Step 4: Simplify right side
    21,137.46x = 201,219,085.85
  5. Step 5: Solve for x
    x = 201,219,085.85/21,137.46
  6. Step 6: Final answer
    x = 9,519.55

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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.