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Finding the Fourth Proportional to 19,672.26, 29,490.56 and 9,814.56

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Solution

The fourth proportional to 19,672.26, 29,490.56 and 9,814.56 is: 14,712.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,672.26 : 29,490.56 = 9,814.56 : x
  2. Step 2: Convert to fraction form
    19,672.26/29,490.56 = 9,814.56/x
  3. Step 3: Cross multiply
    19,672.26x = 29,490.56 × 9,814.56
  4. Step 4: Simplify right side
    19,672.26x = 289,436,870.55
  5. Step 5: Solve for x
    x = 289,436,870.55/19,672.26
  6. Step 6: Final answer
    x = 14,712.94

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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.