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Finding the Fourth Proportional to 14,107.30, 19,467.02 and 7,732.87

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Solution

The fourth proportional to 14,107.30, 19,467.02 and 7,732.87 is: 10,670.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,107.30 : 19,467.02 = 7,732.87 : x
  2. Step 2: Convert to fraction form
    14,107.30/19,467.02 = 7,732.87/x
  3. Step 3: Cross multiply
    14,107.30x = 19,467.02 × 7,732.87
  4. Step 4: Simplify right side
    14,107.30x = 150,535,905.61
  5. Step 5: Solve for x
    x = 150,535,905.61/14,107.30
  6. Step 6: Final answer
    x = 10,670.78

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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.