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Finding the Fourth Proportional to 23,405.80, 32,299 and 12,795.60

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Solution

The fourth proportional to 23,405.80, 32,299 and 12,795.60 is: 17,657.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,405.80 : 32,299 = 12,795.60 : x
  2. Step 2: Convert to fraction form
    23,405.80/32,299 = 12,795.60/x
  3. Step 3: Cross multiply
    23,405.80x = 32,299 × 12,795.60
  4. Step 4: Simplify right side
    23,405.80x = 413,285,084.40
  5. Step 5: Solve for x
    x = 413,285,084.40/23,405.80
  6. Step 6: Final answer
    x = 17,657.38

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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.