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Finding the Fourth Proportional to 17,078.77, 23,568.83 and 9,525.59

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Solution

The fourth proportional to 17,078.77, 23,568.83 and 9,525.59 is: 13,145.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,078.77 : 23,568.83 = 9,525.59 : x
  2. Step 2: Convert to fraction form
    17,078.77/23,568.83 = 9,525.59/x
  3. Step 3: Cross multiply
    17,078.77x = 23,568.83 × 9,525.59
  4. Step 4: Simplify right side
    17,078.77x = 224,506,963.73
  5. Step 5: Solve for x
    x = 224,506,963.73/17,078.77
  6. Step 6: Final answer
    x = 13,145.39

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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.