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Finding the Fourth Proportional to 14,108.63, 19,469.15 and 8,139.94

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Solution

The fourth proportional to 14,108.63, 19,469.15 and 8,139.94 is: 11,232.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,108.63 : 19,469.15 = 8,139.94 : x
  2. Step 2: Convert to fraction form
    14,108.63/19,469.15 = 8,139.94/x
  3. Step 3: Cross multiply
    14,108.63x = 19,469.15 × 8,139.94
  4. Step 4: Simplify right side
    14,108.63x = 158,477,712.85
  5. Step 5: Solve for x
    x = 158,477,712.85/14,108.63
  6. Step 6: Final answer
    x = 11,232.68

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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.