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Finding the Fourth Proportional to 23,649.34, 32,635.40 and 13,578.20

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Solution

The fourth proportional to 23,649.34, 32,635.40 and 13,578.20 is: 18,737.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,649.34 : 32,635.40 = 13,578.20 : x
  2. Step 2: Convert to fraction form
    23,649.34/32,635.40 = 13,578.20/x
  3. Step 3: Cross multiply
    23,649.34x = 32,635.40 × 13,578.20
  4. Step 4: Simplify right side
    23,649.34x = 443,129,988.28
  5. Step 5: Solve for x
    x = 443,129,988.28/23,649.34
  6. Step 6: Final answer
    x = 18,737.52

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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.