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Finding the Fourth Proportional to 23,825.94, 32,883.74 and 13,218.99

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Solution

The fourth proportional to 23,825.94, 32,883.74 and 13,218.99 is: 18,244.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,825.94 : 32,883.74 = 13,218.99 : x
  2. Step 2: Convert to fraction form
    23,825.94/32,883.74 = 13,218.99/x
  3. Step 3: Cross multiply
    23,825.94x = 32,883.74 × 13,218.99
  4. Step 4: Simplify right side
    23,825.94x = 434,689,764.13
  5. Step 5: Solve for x
    x = 434,689,764.13/23,825.94
  6. Step 6: Final answer
    x = 18,244.39

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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.