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Finding the Fourth Proportional to 13,919.74, 19,210.02 and 8,257.84

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Solution

The fourth proportional to 13,919.74, 19,210.02 and 8,257.84 is: 11,396.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,919.74 : 19,210.02 = 8,257.84 : x
  2. Step 2: Convert to fraction form
    13,919.74/19,210.02 = 8,257.84/x
  3. Step 3: Cross multiply
    13,919.74x = 19,210.02 × 8,257.84
  4. Step 4: Simplify right side
    13,919.74x = 158,633,271.56
  5. Step 5: Solve for x
    x = 158,633,271.56/13,919.74
  6. Step 6: Final answer
    x = 11,396.28

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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.