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Finding the Fourth Proportional to 23,635.50, 32,616.56 and 12,880.47

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Solution

The fourth proportional to 23,635.50, 32,616.56 and 12,880.47 is: 17,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,635.50 : 32,616.56 = 12,880.47 : x
  2. Step 2: Convert to fraction form
    23,635.50/32,616.56 = 12,880.47/x
  3. Step 3: Cross multiply
    23,635.50x = 32,616.56 × 12,880.47
  4. Step 4: Simplify right side
    23,635.50x = 420,116,459.50
  5. Step 5: Solve for x
    x = 420,116,459.50/23,635.50
  6. Step 6: Final answer
    x = 17,774.81

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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.