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Finding the Fourth Proportional to 14,106.69, 19,469.25 and 8,140.41

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Solution

The fourth proportional to 14,106.69, 19,469.25 and 8,140.41 is: 11,234.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,106.69 : 19,469.25 = 8,140.41 : x
  2. Step 2: Convert to fraction form
    14,106.69/19,469.25 = 8,140.41/x
  3. Step 3: Cross multiply
    14,106.69x = 19,469.25 × 8,140.41
  4. Step 4: Simplify right side
    14,106.69x = 158,487,677.39
  5. Step 5: Solve for x
    x = 158,487,677.39/14,106.69
  6. Step 6: Final answer
    x = 11,234.93

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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.