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Finding the Fourth Proportional to 17,795.38, 24,556.42 and 9,836.53

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Solution

The fourth proportional to 17,795.38, 24,556.42 and 9,836.53 is: 13,573.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,795.38 : 24,556.42 = 9,836.53 : x
  2. Step 2: Convert to fraction form
    17,795.38/24,556.42 = 9,836.53/x
  3. Step 3: Cross multiply
    17,795.38x = 24,556.42 × 9,836.53
  4. Step 4: Simplify right side
    17,795.38x = 241,549,962.02
  5. Step 5: Solve for x
    x = 241,549,962.02/17,795.38
  6. Step 6: Final answer
    x = 13,573.75

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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.