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Finding the Fourth Proportional to 14,562.48, 21,848.04 and 6,238.38

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Solution

The fourth proportional to 14,562.48, 21,848.04 and 6,238.38 is: 9,359.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.48 : 21,848.04 = 6,238.38 : x
  2. Step 2: Convert to fraction form
    14,562.48/21,848.04 = 6,238.38/x
  3. Step 3: Cross multiply
    14,562.48x = 21,848.04 × 6,238.38
  4. Step 4: Simplify right side
    14,562.48x = 136,296,375.78
  5. Step 5: Solve for x
    x = 136,296,375.78/14,562.48
  6. Step 6: Final answer
    x = 9,359.42

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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.