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Finding the Fourth Proportional to 19,907.40, 29,861.10 and 8,214.24

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Solution

The fourth proportional to 19,907.40, 29,861.10 and 8,214.24 is: 12,321.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,907.40 : 29,861.10 = 8,214.24 : x
  2. Step 2: Convert to fraction form
    19,907.40/29,861.10 = 8,214.24/x
  3. Step 3: Cross multiply
    19,907.40x = 29,861.10 × 8,214.24
  4. Step 4: Simplify right side
    19,907.40x = 245,286,242.06
  5. Step 5: Solve for x
    x = 245,286,242.06/19,907.40
  6. Step 6: Final answer
    x = 12,321.36

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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.