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Finding the Fourth Proportional to 17,671.34, 26,507.02 and 8,305.52

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Solution

The fourth proportional to 17,671.34, 26,507.02 and 8,305.52 is: 12,458.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,671.34 : 26,507.02 = 8,305.52 : x
  2. Step 2: Convert to fraction form
    17,671.34/26,507.02 = 8,305.52/x
  3. Step 3: Cross multiply
    17,671.34x = 26,507.02 × 8,305.52
  4. Step 4: Simplify right side
    17,671.34x = 220,154,584.75
  5. Step 5: Solve for x
    x = 220,154,584.75/17,671.34
  6. Step 6: Final answer
    x = 12,458.28

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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.