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Finding the Fourth Proportional to 17,435, 26,164.02 and 8,201.72

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Solution

The fourth proportional to 17,435, 26,164.02 and 8,201.72 is: 12,308.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,435 : 26,164.02 = 8,201.72 : x
  2. Step 2: Convert to fraction form
    17,435/26,164.02 = 8,201.72/x
  3. Step 3: Cross multiply
    17,435x = 26,164.02 × 8,201.72
  4. Step 4: Simplify right side
    17,435x = 214,589,966.11
  5. Step 5: Solve for x
    x = 214,589,966.11/17,435
  6. Step 6: Final answer
    x = 12,308.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.