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Finding the Fourth Proportional to 17,586.73, 24,268.78 and 9,627.45

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Solution

The fourth proportional to 17,586.73, 24,268.78 and 9,627.45 is: 13,285.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,586.73 : 24,268.78 = 9,627.45 : x
  2. Step 2: Convert to fraction form
    17,586.73/24,268.78 = 9,627.45/x
  3. Step 3: Cross multiply
    17,586.73x = 24,268.78 × 9,627.45
  4. Step 4: Simplify right side
    17,586.73x = 233,646,466.01
  5. Step 5: Solve for x
    x = 233,646,466.01/17,586.73
  6. Step 6: Final answer
    x = 13,285.38

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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.