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Finding the Fourth Proportional to 14,399.82, 19,873.38 and 8,027.00

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Solution

The fourth proportional to 14,399.82, 19,873.38 and 8,027.00 is: 11,078.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,399.82 : 19,873.38 = 8,027.00 : x
  2. Step 2: Convert to fraction form
    14,399.82/19,873.38 = 8,027.00/x
  3. Step 3: Cross multiply
    14,399.82x = 19,873.38 × 8,027.00
  4. Step 4: Simplify right side
    14,399.82x = 159,523,521.89
  5. Step 5: Solve for x
    x = 159,523,521.89/14,399.82
  6. Step 6: Final answer
    x = 11,078.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.