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Finding the Fourth Proportional to 14,007.96, 19,330.48 and 7,634.42

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Solution

The fourth proportional to 14,007.96, 19,330.48 and 7,634.42 is: 10,535.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.96 : 19,330.48 = 7,634.42 : x
  2. Step 2: Convert to fraction form
    14,007.96/19,330.48 = 7,634.42/x
  3. Step 3: Cross multiply
    14,007.96x = 19,330.48 × 7,634.42
  4. Step 4: Simplify right side
    14,007.96x = 147,577,020.94
  5. Step 5: Solve for x
    x = 147,577,020.94/14,007.96
  6. Step 6: Final answer
    x = 10,535.23

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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.