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Finding the Fourth Proportional to 14,216.84, 19,618.95 and 8,249.09

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Solution

The fourth proportional to 14,216.84, 19,618.95 and 8,249.09 is: 11,383.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.84 : 19,618.95 = 8,249.09 : x
  2. Step 2: Convert to fraction form
    14,216.84/19,618.95 = 8,249.09/x
  3. Step 3: Cross multiply
    14,216.84x = 19,618.95 × 8,249.09
  4. Step 4: Simplify right side
    14,216.84x = 161,838,484.26
  5. Step 5: Solve for x
    x = 161,838,484.26/14,216.84
  6. Step 6: Final answer
    x = 11,383.58

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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.