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Finding the Fourth Proportional to 12,480.72, 18,723 and 4,157.88

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Solution

The fourth proportional to 12,480.72, 18,723 and 4,157.88 is: 6,237.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,480.72 : 18,723 = 4,157.88 : x
  2. Step 2: Convert to fraction form
    12,480.72/18,723 = 4,157.88/x
  3. Step 3: Cross multiply
    12,480.72x = 18,723 × 4,157.88
  4. Step 4: Simplify right side
    12,480.72x = 77,847,987.24
  5. Step 5: Solve for x
    x = 77,847,987.24/12,480.72
  6. Step 6: Final answer
    x = 6,237.46

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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.