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Finding the Fourth Proportional to 14,562.50, 21,843.76 and 4,174.26

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Solution

The fourth proportional to 14,562.50, 21,843.76 and 4,174.26 is: 6,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,562.50 : 21,843.76 = 4,174.26 : x
  2. Step 2: Convert to fraction form
    14,562.50/21,843.76 = 4,174.26/x
  3. Step 3: Cross multiply
    14,562.50x = 21,843.76 × 4,174.26
  4. Step 4: Simplify right side
    14,562.50x = 91,181,533.62
  5. Step 5: Solve for x
    x = 91,181,533.62/14,562.50
  6. Step 6: Final answer
    x = 6,261.39

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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.