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Finding the Fourth Proportional to 12,426.62, 18,643.98 and 5,853.47

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Solution

The fourth proportional to 12,426.62, 18,643.98 and 5,853.47 is: 8,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,426.62 : 18,643.98 = 5,853.47 : x
  2. Step 2: Convert to fraction form
    12,426.62/18,643.98 = 5,853.47/x
  3. Step 3: Cross multiply
    12,426.62x = 18,643.98 × 5,853.47
  4. Step 4: Simplify right side
    12,426.62x = 109,131,977.61
  5. Step 5: Solve for x
    x = 109,131,977.61/12,426.62
  6. Step 6: Final answer
    x = 8,782.11

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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.