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Finding the Fourth Proportional to 14,196.84, 19,590.49 and 8,228.89

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Solution

The fourth proportional to 14,196.84, 19,590.49 and 8,228.89 is: 11,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,196.84 : 19,590.49 = 8,228.89 : x
  2. Step 2: Convert to fraction form
    14,196.84/19,590.49 = 8,228.89/x
  3. Step 3: Cross multiply
    14,196.84x = 19,590.49 × 8,228.89
  4. Step 4: Simplify right side
    14,196.84x = 161,208,022.03
  5. Step 5: Solve for x
    x = 161,208,022.03/14,196.84
  6. Step 6: Final answer
    x = 11,355.21

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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.