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Finding the Fourth Proportional to 12,419, 17,129.54 and 8,168.72

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Solution

The fourth proportional to 12,419, 17,129.54 and 8,168.72 is: 11,267.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419 : 17,129.54 = 8,168.72 : x
  2. Step 2: Convert to fraction form
    12,419/17,129.54 = 8,168.72/x
  3. Step 3: Cross multiply
    12,419x = 17,129.54 × 8,168.72
  4. Step 4: Simplify right side
    12,419x = 139,926,415.99
  5. Step 5: Solve for x
    x = 139,926,415.99/12,419
  6. Step 6: Final answer
    x = 11,267.12

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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.