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Finding the Fourth Proportional to 23,257.63, 32,101.41 and 13,192.07

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Solution

The fourth proportional to 23,257.63, 32,101.41 and 13,192.07 is: 18,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,257.63 : 32,101.41 = 13,192.07 : x
  2. Step 2: Convert to fraction form
    23,257.63/32,101.41 = 13,192.07/x
  3. Step 3: Cross multiply
    23,257.63x = 32,101.41 × 13,192.07
  4. Step 4: Simplify right side
    23,257.63x = 423,483,936.78
  5. Step 5: Solve for x
    x = 423,483,936.78/23,257.63
  6. Step 6: Final answer
    x = 18,208.39

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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.