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Finding the Fourth Proportional to 14,243.00, 21,369.11 and 6,848.03

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Solution

The fourth proportional to 14,243.00, 21,369.11 and 6,848.03 is: 10,274.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,243.00 : 21,369.11 = 6,848.03 : x
  2. Step 2: Convert to fraction form
    14,243.00/21,369.11 = 6,848.03/x
  3. Step 3: Cross multiply
    14,243.00x = 21,369.11 × 6,848.03
  4. Step 4: Simplify right side
    14,243.00x = 146,336,325.54
  5. Step 5: Solve for x
    x = 146,336,325.54/14,243.00
  6. Step 6: Final answer
    x = 10,274.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.