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Finding the Fourth Proportional to 23,604, 32,575.08 and 13,668

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Solution

The fourth proportional to 23,604, 32,575.08 and 13,668 is: 18,862.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,604 : 32,575.08 = 13,668 : x
  2. Step 2: Convert to fraction form
    23,604/32,575.08 = 13,668/x
  3. Step 3: Cross multiply
    23,604x = 32,575.08 × 13,668
  4. Step 4: Simplify right side
    23,604x = 445,236,193.44
  5. Step 5: Solve for x
    x = 445,236,193.44/23,604
  6. Step 6: Final answer
    x = 18,862.74

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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.