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Finding the Fourth Proportional to 13,134.83, 18,126.05 and 8,419.10

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Solution

The fourth proportional to 13,134.83, 18,126.05 and 8,419.10 is: 11,618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,134.83 : 18,126.05 = 8,419.10 : x
  2. Step 2: Convert to fraction form
    13,134.83/18,126.05 = 8,419.10/x
  3. Step 3: Cross multiply
    13,134.83x = 18,126.05 × 8,419.10
  4. Step 4: Simplify right side
    13,134.83x = 152,605,093.92
  5. Step 5: Solve for x
    x = 152,605,093.92/13,134.83
  6. Step 6: Final answer
    x = 11,618.36

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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.