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Finding the Fourth Proportional to 14,007.87, 19,304.25 and 10,022.07

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Solution

The fourth proportional to 14,007.87, 19,304.25 and 10,022.07 is: 13,811.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,007.87 : 19,304.25 = 10,022.07 : x
  2. Step 2: Convert to fraction form
    14,007.87/19,304.25 = 10,022.07/x
  3. Step 3: Cross multiply
    14,007.87x = 19,304.25 × 10,022.07
  4. Step 4: Simplify right side
    14,007.87x = 193,468,544.80
  5. Step 5: Solve for x
    x = 193,468,544.80/14,007.87
  6. Step 6: Final answer
    x = 13,811.42

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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.