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Finding the Fourth Proportional to 23,504.99, 32,436.86 and 12,894.39

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Solution

The fourth proportional to 23,504.99, 32,436.86 and 12,894.39 is: 17,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504.99 : 32,436.86 = 12,894.39 : x
  2. Step 2: Convert to fraction form
    23,504.99/32,436.86 = 12,894.39/x
  3. Step 3: Cross multiply
    23,504.99x = 32,436.86 × 12,894.39
  4. Step 4: Simplify right side
    23,504.99x = 418,253,458.74
  5. Step 5: Solve for x
    x = 418,253,458.74/23,504.99
  6. Step 6: Final answer
    x = 17,794.24

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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.