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Finding the Fourth Proportional to 23,364, 35,044 and 8,572.32

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Solution

The fourth proportional to 23,364, 35,044 and 8,572.32 is: 12,857.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,364 : 35,044 = 8,572.32 : x
  2. Step 2: Convert to fraction form
    23,364/35,044 = 8,572.32/x
  3. Step 3: Cross multiply
    23,364x = 35,044 × 8,572.32
  4. Step 4: Simplify right side
    23,364x = 300,408,382.08
  5. Step 5: Solve for x
    x = 300,408,382.08/23,364
  6. Step 6: Final answer
    x = 12,857.75

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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.