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Finding the Fourth Proportional to 14,226.95, 19,633.19 and 7,853.54

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Solution

The fourth proportional to 14,226.95, 19,633.19 and 7,853.54 is: 10,837.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,226.95 : 19,633.19 = 7,853.54 : x
  2. Step 2: Convert to fraction form
    14,226.95/19,633.19 = 7,853.54/x
  3. Step 3: Cross multiply
    14,226.95x = 19,633.19 × 7,853.54
  4. Step 4: Simplify right side
    14,226.95x = 154,189,905.56
  5. Step 5: Solve for x
    x = 154,189,905.56/14,226.95
  6. Step 6: Final answer
    x = 10,837.88

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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.