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Finding the Fourth Proportional to 23,634.08, 32,615.16 and 13,023.68

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Solution

The fourth proportional to 23,634.08, 32,615.16 and 13,023.68 is: 17,972.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,634.08 : 32,615.16 = 13,023.68 : x
  2. Step 2: Convert to fraction form
    23,634.08/32,615.16 = 13,023.68/x
  3. Step 3: Cross multiply
    23,634.08x = 32,615.16 × 13,023.68
  4. Step 4: Simplify right side
    23,634.08x = 424,769,406.99
  5. Step 5: Solve for x
    x = 424,769,406.99/23,634.08
  6. Step 6: Final answer
    x = 17,972.75

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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.