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Finding the Fourth Proportional to 14,226.81, 19,633.17 and 7,853.68

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Solution

The fourth proportional to 14,226.81, 19,633.17 and 7,853.68 is: 10,838.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.81 : 19,633.17 = 7,853.68 : x
  2. Step 2: Convert to fraction form
    14,226.81/19,633.17 = 7,853.68/x
  3. Step 3: Cross multiply
    14,226.81x = 19,633.17 × 7,853.68
  4. Step 4: Simplify right side
    14,226.81x = 154,192,634.57
  5. Step 5: Solve for x
    x = 154,192,634.57/14,226.81
  6. Step 6: Final answer
    x = 10,838.17

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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.