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Finding the Fourth Proportional to 12,419.40, 17,138.64 and 6,754.32

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Solution

The fourth proportional to 12,419.40, 17,138.64 and 6,754.32 is: 9,320.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,419.40 : 17,138.64 = 6,754.32 : x
  2. Step 2: Convert to fraction form
    12,419.40/17,138.64 = 6,754.32/x
  3. Step 3: Cross multiply
    12,419.40x = 17,138.64 × 6,754.32
  4. Step 4: Simplify right side
    12,419.40x = 115,759,858.92
  5. Step 5: Solve for x
    x = 115,759,858.92/12,419.40
  6. Step 6: Final answer
    x = 9,320.89

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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.