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Finding the Fourth Proportional to 12,419.61, 17,139.09 and 6,754.40

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Solution

The fourth proportional to 12,419.61, 17,139.09 and 6,754.40 is: 9,321.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.61 : 17,139.09 = 6,754.40 : x
  2. Step 2: Convert to fraction form
    12,419.61/17,139.09 = 6,754.40/x
  3. Step 3: Cross multiply
    12,419.61x = 17,139.09 × 6,754.40
  4. Step 4: Simplify right side
    12,419.61x = 115,764,269.50
  5. Step 5: Solve for x
    x = 115,764,269.50/12,419.61
  6. Step 6: Final answer
    x = 9,321.09

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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.