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Finding the Fourth Proportional to 14,107.61, 19,467.69 and 7,732.96

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Solution

The fourth proportional to 14,107.61, 19,467.69 and 7,732.96 is: 10,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.61 : 19,467.69 = 7,732.96 : x
  2. Step 2: Convert to fraction form
    14,107.61/19,467.69 = 7,732.96/x
  3. Step 3: Cross multiply
    14,107.61x = 19,467.69 × 7,732.96
  4. Step 4: Simplify right side
    14,107.61x = 150,542,868.06
  5. Step 5: Solve for x
    x = 150,542,868.06/14,107.61
  6. Step 6: Final answer
    x = 10,671.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.