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Finding the Fourth Proportional to 14,228.69, 19,636.22 and 8,180.89

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Solution

The fourth proportional to 14,228.69, 19,636.22 and 8,180.89 is: 11,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,228.69 : 19,636.22 = 8,180.89 : x
  2. Step 2: Convert to fraction form
    14,228.69/19,636.22 = 8,180.89/x
  3. Step 3: Cross multiply
    14,228.69x = 19,636.22 × 8,180.89
  4. Step 4: Simplify right side
    14,228.69x = 160,641,727.20
  5. Step 5: Solve for x
    x = 160,641,727.20/14,228.69
  6. Step 6: Final answer
    x = 11,289.99

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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.