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Finding the Fourth Proportional to 14,257.52, 19,684.56 and 9,224.24

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Solution

The fourth proportional to 14,257.52, 19,684.56 and 9,224.24 is: 12,735.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,257.52 : 19,684.56 = 9,224.24 : x
  2. Step 2: Convert to fraction form
    14,257.52/19,684.56 = 9,224.24/x
  3. Step 3: Cross multiply
    14,257.52x = 19,684.56 × 9,224.24
  4. Step 4: Simplify right side
    14,257.52x = 181,575,105.73
  5. Step 5: Solve for x
    x = 181,575,105.73/14,257.52
  6. Step 6: Final answer
    x = 12,735.39

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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.