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Finding the Fourth Proportional to 12,025.68, 18,038.52 and 7,891.86

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Solution

The fourth proportional to 12,025.68, 18,038.52 and 7,891.86 is: 11,837.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,025.68 : 18,038.52 = 7,891.86 : x
  2. Step 2: Convert to fraction form
    12,025.68/18,038.52 = 7,891.86/x
  3. Step 3: Cross multiply
    12,025.68x = 18,038.52 × 7,891.86
  4. Step 4: Simplify right side
    12,025.68x = 142,357,474.45
  5. Step 5: Solve for x
    x = 142,357,474.45/12,025.68
  6. Step 6: Final answer
    x = 11,837.79

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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.