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Finding the Fourth Proportional to 19,806.72, 29,678.49 and 14,517.24

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Solution

The fourth proportional to 19,806.72, 29,678.49 and 14,517.24 is: 21,752.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,806.72 : 29,678.49 = 14,517.24 : x
  2. Step 2: Convert to fraction form
    19,806.72/29,678.49 = 14,517.24/x
  3. Step 3: Cross multiply
    19,806.72x = 29,678.49 × 14,517.24
  4. Step 4: Simplify right side
    19,806.72x = 430,849,762.17
  5. Step 5: Solve for x
    x = 430,849,762.17/19,806.72
  6. Step 6: Final answer
    x = 21,752.71

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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.