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Finding the Fourth Proportional to 12,615.98, 18,922.43 and 5,219.57

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Solution

The fourth proportional to 12,615.98, 18,922.43 and 5,219.57 is: 7,828.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,615.98 : 18,922.43 = 5,219.57 : x
  2. Step 2: Convert to fraction form
    12,615.98/18,922.43 = 5,219.57/x
  3. Step 3: Cross multiply
    12,615.98x = 18,922.43 × 5,219.57
  4. Step 4: Simplify right side
    12,615.98x = 98,767,008.31
  5. Step 5: Solve for x
    x = 98,767,008.31/12,615.98
  6. Step 6: Final answer
    x = 7,828.73

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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.