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Finding the Fourth Proportional to 23,624, 32,600.48 and 13,013.52

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Solution

The fourth proportional to 23,624, 32,600.48 and 13,013.52 is: 17,958.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,624 : 32,600.48 = 13,013.52 : x
  2. Step 2: Convert to fraction form
    23,624/32,600.48 = 13,013.52/x
  3. Step 3: Cross multiply
    23,624x = 32,600.48 × 13,013.52
  4. Step 4: Simplify right side
    23,624x = 424,246,998.49
  5. Step 5: Solve for x
    x = 424,246,998.49/23,624
  6. Step 6: Final answer
    x = 17,958.31

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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.