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Finding the Fourth Proportional to 19,586.71, 29,391.74 and 7,107.71

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Solution

The fourth proportional to 19,586.71, 29,391.74 and 7,107.71 is: 10,665.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,586.71 : 29,391.74 = 7,107.71 : x
  2. Step 2: Convert to fraction form
    19,586.71/29,391.74 = 7,107.71/x
  3. Step 3: Cross multiply
    19,586.71x = 29,391.74 × 7,107.71
  4. Step 4: Simplify right side
    19,586.71x = 208,907,964.32
  5. Step 5: Solve for x
    x = 208,907,964.32/19,586.71
  6. Step 6: Final answer
    x = 10,665.80

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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.