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Finding the Fourth Proportional to 13,967.74, 19,273.17 and 8,305.84

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Solution

The fourth proportional to 13,967.74, 19,273.17 and 8,305.84 is: 11,460.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,967.74 : 19,273.17 = 8,305.84 : x
  2. Step 2: Convert to fraction form
    13,967.74/19,273.17 = 8,305.84/x
  3. Step 3: Cross multiply
    13,967.74x = 19,273.17 × 8,305.84
  4. Step 4: Simplify right side
    13,967.74x = 160,079,866.31
  5. Step 5: Solve for x
    x = 160,079,866.31/13,967.74
  6. Step 6: Final answer
    x = 11,460.68

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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.