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Finding the Fourth Proportional to 12,681, 19,033.26 and 6,445.44

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Solution

The fourth proportional to 12,681, 19,033.26 and 6,445.44 is: 9,674.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,681 : 19,033.26 = 6,445.44 : x
  2. Step 2: Convert to fraction form
    12,681/19,033.26 = 6,445.44/x
  3. Step 3: Cross multiply
    12,681x = 19,033.26 × 6,445.44
  4. Step 4: Simplify right side
    12,681x = 122,677,735.33
  5. Step 5: Solve for x
    x = 122,677,735.33/12,681
  6. Step 6: Final answer
    x = 9,674.14

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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.