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Finding the Fourth Proportional to 14,238.84, 19,648.10 and 8,269.34

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Solution

The fourth proportional to 14,238.84, 19,648.10 and 8,269.34 is: 11,410.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,238.84 : 19,648.10 = 8,269.34 : x
  2. Step 2: Convert to fraction form
    14,238.84/19,648.10 = 8,269.34/x
  3. Step 3: Cross multiply
    14,238.84x = 19,648.10 × 8,269.34
  4. Step 4: Simplify right side
    14,238.84x = 162,476,819.25
  5. Step 5: Solve for x
    x = 162,476,819.25/14,238.84
  6. Step 6: Final answer
    x = 11,410.82

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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.