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Finding the Fourth Proportional to 24,115.14, 33,280.02 and 13,504.50

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Solution

The fourth proportional to 24,115.14, 33,280.02 and 13,504.50 is: 18,636.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,115.14 : 33,280.02 = 13,504.50 : x
  2. Step 2: Convert to fraction form
    24,115.14/33,280.02 = 13,504.50/x
  3. Step 3: Cross multiply
    24,115.14x = 33,280.02 × 13,504.50
  4. Step 4: Simplify right side
    24,115.14x = 449,430,030.09
  5. Step 5: Solve for x
    x = 449,430,030.09/24,115.14
  6. Step 6: Final answer
    x = 18,636.84

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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.