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Finding the Fourth Proportional to 12,676.40, 19,017.32 and 6,437.24

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Solution

The fourth proportional to 12,676.40, 19,017.32 and 6,437.24 is: 9,657.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,676.40 : 19,017.32 = 6,437.24 : x
  2. Step 2: Convert to fraction form
    12,676.40/19,017.32 = 6,437.24/x
  3. Step 3: Cross multiply
    12,676.40x = 19,017.32 × 6,437.24
  4. Step 4: Simplify right side
    12,676.40x = 122,419,053.00
  5. Step 5: Solve for x
    x = 122,419,053.00/12,676.40
  6. Step 6: Final answer
    x = 9,657.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.