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Finding the Fourth Proportional to 12,589.54, 18,886.58 and 5,189.88

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Solution

The fourth proportional to 12,589.54, 18,886.58 and 5,189.88 is: 7,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.54 : 18,886.58 = 5,189.88 : x
  2. Step 2: Convert to fraction form
    12,589.54/18,886.58 = 5,189.88/x
  3. Step 3: Cross multiply
    12,589.54x = 18,886.58 × 5,189.88
  4. Step 4: Simplify right side
    12,589.54x = 98,019,083.81
  5. Step 5: Solve for x
    x = 98,019,083.81/12,589.54
  6. Step 6: Final answer
    x = 7,785.76

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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.