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Finding the Fourth Proportional to 14,105.46, 19,465.20 and 7,732.11

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Solution

The fourth proportional to 14,105.46, 19,465.20 and 7,732.11 is: 10,670.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,105.46 : 19,465.20 = 7,732.11 : x
  2. Step 2: Convert to fraction form
    14,105.46/19,465.20 = 7,732.11/x
  3. Step 3: Cross multiply
    14,105.46x = 19,465.20 × 7,732.11
  4. Step 4: Simplify right side
    14,105.46x = 150,507,067.57
  5. Step 5: Solve for x
    x = 150,507,067.57/14,105.46
  6. Step 6: Final answer
    x = 10,670.13

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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.