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Finding the Fourth Proportional to 27,122.23, 40,673.85 and 12,889

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Solution

The fourth proportional to 27,122.23, 40,673.85 and 12,889 is: 19,328.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,122.23 : 40,673.85 = 12,889 : x
  2. Step 2: Convert to fraction form
    27,122.23/40,673.85 = 12,889/x
  3. Step 3: Cross multiply
    27,122.23x = 40,673.85 × 12,889
  4. Step 4: Simplify right side
    27,122.23x = 524,245,252.65
  5. Step 5: Solve for x
    x = 524,245,252.65/27,122.23
  6. Step 6: Final answer
    x = 19,328.99

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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.