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Finding the Fourth Proportional to 17,099.06, 23,596.80 and 10,025.60

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Solution

The fourth proportional to 17,099.06, 23,596.80 and 10,025.60 is: 13,835.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,099.06 : 23,596.80 = 10,025.60 : x
  2. Step 2: Convert to fraction form
    17,099.06/23,596.80 = 10,025.60/x
  3. Step 3: Cross multiply
    17,099.06x = 23,596.80 × 10,025.60
  4. Step 4: Simplify right side
    17,099.06x = 236,572,078.08
  5. Step 5: Solve for x
    x = 236,572,078.08/17,099.06
  6. Step 6: Final answer
    x = 13,835.38

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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.