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Finding the Fourth Proportional to 12,027.58, 18,038.12 and 4,232.14

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Solution

The fourth proportional to 12,027.58, 18,038.12 and 4,232.14 is: 6,347.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,027.58 : 18,038.12 = 4,232.14 : x
  2. Step 2: Convert to fraction form
    12,027.58/18,038.12 = 4,232.14/x
  3. Step 3: Cross multiply
    12,027.58x = 18,038.12 × 4,232.14
  4. Step 4: Simplify right side
    12,027.58x = 76,339,849.18
  5. Step 5: Solve for x
    x = 76,339,849.18/12,027.58
  6. Step 6: Final answer
    x = 6,347.07

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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.