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Finding the Fourth Proportional to 14,344.38, 19,796.94 and 8,056.74

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Solution

The fourth proportional to 14,344.38, 19,796.94 and 8,056.74 is: 11,119.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,344.38 : 19,796.94 = 8,056.74 : x
  2. Step 2: Convert to fraction form
    14,344.38/19,796.94 = 8,056.74/x
  3. Step 3: Cross multiply
    14,344.38x = 19,796.94 × 8,056.74
  4. Step 4: Simplify right side
    14,344.38x = 159,498,798.38
  5. Step 5: Solve for x
    x = 159,498,798.38/14,344.38
  6. Step 6: Final answer
    x = 11,119.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.