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Finding the Fourth Proportional to 12,670.80, 19,014.80 and 4,462.80

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Solution

The fourth proportional to 12,670.80, 19,014.80 and 4,462.80 is: 6,697.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,670.80 : 19,014.80 = 4,462.80 : x
  2. Step 2: Convert to fraction form
    12,670.80/19,014.80 = 4,462.80/x
  3. Step 3: Cross multiply
    12,670.80x = 19,014.80 × 4,462.80
  4. Step 4: Simplify right side
    12,670.80x = 84,859,249.44
  5. Step 5: Solve for x
    x = 84,859,249.44/12,670.80
  6. Step 6: Final answer
    x = 6,697.23

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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.