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Finding the Fourth Proportional to 14,138.72, 19,510.03 and 8,169.92

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Solution

The fourth proportional to 14,138.72, 19,510.03 and 8,169.92 is: 11,273.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.72 : 19,510.03 = 8,169.92 : x
  2. Step 2: Convert to fraction form
    14,138.72/19,510.03 = 8,169.92/x
  3. Step 3: Cross multiply
    14,138.72x = 19,510.03 × 8,169.92
  4. Step 4: Simplify right side
    14,138.72x = 159,395,384.30
  5. Step 5: Solve for x
    x = 159,395,384.30/14,138.72
  6. Step 6: Final answer
    x = 11,273.68

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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.