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Finding the Fourth Proportional to 14,274.73, 19,699.09 and 8,306.75

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Solution

The fourth proportional to 14,274.73, 19,699.09 and 8,306.75 is: 11,463.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,274.73 : 19,699.09 = 8,306.75 : x
  2. Step 2: Convert to fraction form
    14,274.73/19,699.09 = 8,306.75/x
  3. Step 3: Cross multiply
    14,274.73x = 19,699.09 × 8,306.75
  4. Step 4: Simplify right side
    14,274.73x = 163,635,415.86
  5. Step 5: Solve for x
    x = 163,635,415.86/14,274.73
  6. Step 6: Final answer
    x = 11,463.29

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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.