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Finding the Fourth Proportional to 27,643.75, 41,464.42 and 12,642.18

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Solution

The fourth proportional to 27,643.75, 41,464.42 and 12,642.18 is: 18,962.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,643.75 : 41,464.42 = 12,642.18 : x
  2. Step 2: Convert to fraction form
    27,643.75/41,464.42 = 12,642.18/x
  3. Step 3: Cross multiply
    27,643.75x = 41,464.42 × 12,642.18
  4. Step 4: Simplify right side
    27,643.75x = 524,200,545.25
  5. Step 5: Solve for x
    x = 524,200,545.25/27,643.75
  6. Step 6: Final answer
    x = 18,962.72

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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.