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Finding the Fourth Proportional to 14,138.02, 19,509.02 and 8,171.60

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Solution

The fourth proportional to 14,138.02, 19,509.02 and 8,171.60 is: 11,275.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,138.02 : 19,509.02 = 8,171.60 : x
  2. Step 2: Convert to fraction form
    14,138.02/19,509.02 = 8,171.60/x
  3. Step 3: Cross multiply
    14,138.02x = 19,509.02 × 8,171.60
  4. Step 4: Simplify right side
    14,138.02x = 159,419,907.83
  5. Step 5: Solve for x
    x = 159,419,907.83/14,138.02
  6. Step 6: Final answer
    x = 11,275.97

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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.