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Finding the Fourth Proportional to 14,257.23, 19,674.94 and 7,796.87

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Solution

The fourth proportional to 14,257.23, 19,674.94 and 7,796.87 is: 10,759.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.23 : 19,674.94 = 7,796.87 : x
  2. Step 2: Convert to fraction form
    14,257.23/19,674.94 = 7,796.87/x
  3. Step 3: Cross multiply
    14,257.23x = 19,674.94 × 7,796.87
  4. Step 4: Simplify right side
    14,257.23x = 153,402,949.44
  5. Step 5: Solve for x
    x = 153,402,949.44/14,257.23
  6. Step 6: Final answer
    x = 10,759.66

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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.