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Finding the Fourth Proportional to 17,795.94, 24,558.26 and 9,838.02

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Solution

The fourth proportional to 17,795.94, 24,558.26 and 9,838.02 is: 13,576.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,795.94 : 24,558.26 = 9,838.02 : x
  2. Step 2: Convert to fraction form
    17,795.94/24,558.26 = 9,838.02/x
  3. Step 3: Cross multiply
    17,795.94x = 24,558.26 × 9,838.02
  4. Step 4: Simplify right side
    17,795.94x = 241,604,653.05
  5. Step 5: Solve for x
    x = 241,604,653.05/17,795.94
  6. Step 6: Final answer
    x = 13,576.39

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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.