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Finding the Fourth Proportional to 14,226.22, 19,633.49 and 7,853.95

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Solution

The fourth proportional to 14,226.22, 19,633.49 and 7,853.95 is: 10,839.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.22 : 19,633.49 = 7,853.95 : x
  2. Step 2: Convert to fraction form
    14,226.22/19,633.49 = 7,853.95/x
  3. Step 3: Cross multiply
    14,226.22x = 19,633.49 × 7,853.95
  4. Step 4: Simplify right side
    14,226.22x = 154,200,448.79
  5. Step 5: Solve for x
    x = 154,200,448.79/14,226.22
  6. Step 6: Final answer
    x = 10,839.17

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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.