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Finding the Fourth Proportional to 12,538.56, 18,808.74 and 4,218.54

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Solution

The fourth proportional to 12,538.56, 18,808.74 and 4,218.54 is: 6,328.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,538.56 : 18,808.74 = 4,218.54 : x
  2. Step 2: Convert to fraction form
    12,538.56/18,808.74 = 4,218.54/x
  3. Step 3: Cross multiply
    12,538.56x = 18,808.74 × 4,218.54
  4. Step 4: Simplify right side
    12,538.56x = 79,345,422.04
  5. Step 5: Solve for x
    x = 79,345,422.04/12,538.56
  6. Step 6: Final answer
    x = 6,328.11

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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.