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Finding the Fourth Proportional to 12,674.40, 19,014.30 and 6,435.24

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Solution

The fourth proportional to 12,674.40, 19,014.30 and 6,435.24 is: 9,654.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,674.40 : 19,014.30 = 6,435.24 : x
  2. Step 2: Convert to fraction form
    12,674.40/19,014.30 = 6,435.24/x
  3. Step 3: Cross multiply
    12,674.40x = 19,014.30 × 6,435.24
  4. Step 4: Simplify right side
    12,674.40x = 122,361,583.93
  5. Step 5: Solve for x
    x = 122,361,583.93/12,674.40
  6. Step 6: Final answer
    x = 9,654.23

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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.