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Finding the Fourth Proportional to 17,076.78, 23,562.93 and 9,522.51

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Solution

The fourth proportional to 17,076.78, 23,562.93 and 9,522.51 is: 13,139.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,076.78 : 23,562.93 = 9,522.51 : x
  2. Step 2: Convert to fraction form
    17,076.78/23,562.93 = 9,522.51/x
  3. Step 3: Cross multiply
    17,076.78x = 23,562.93 × 9,522.51
  4. Step 4: Simplify right side
    17,076.78x = 224,378,236.55
  5. Step 5: Solve for x
    x = 224,378,236.55/17,076.78
  6. Step 6: Final answer
    x = 13,139.38

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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.