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Finding the Fourth Proportional to 23,635, 32,615.94 and 13,024.36

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Solution

The fourth proportional to 23,635, 32,615.94 and 13,024.36 is: 17,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635 : 32,615.94 = 13,024.36 : x
  2. Step 2: Convert to fraction form
    23,635/32,615.94 = 13,024.36/x
  3. Step 3: Cross multiply
    23,635x = 32,615.94 × 13,024.36
  4. Step 4: Simplify right side
    23,635x = 424,801,744.30
  5. Step 5: Solve for x
    x = 424,801,744.30/23,635
  6. Step 6: Final answer
    x = 17,973.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.