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Finding the Fourth Proportional to 14,138.83, 19,515.09 and 8,174.22

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Solution

The fourth proportional to 14,138.83, 19,515.09 and 8,174.22 is: 11,282.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.83 : 19,515.09 = 8,174.22 : x
  2. Step 2: Convert to fraction form
    14,138.83/19,515.09 = 8,174.22/x
  3. Step 3: Cross multiply
    14,138.83x = 19,515.09 × 8,174.22
  4. Step 4: Simplify right side
    14,138.83x = 159,520,638.98
  5. Step 5: Solve for x
    x = 159,520,638.98/14,138.83
  6. Step 6: Final answer
    x = 11,282.45

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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.