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Finding the Fourth Proportional to 18,423.14, 27,638.64 and 6,577.49

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Solution

The fourth proportional to 18,423.14, 27,638.64 and 6,577.49 is: 9,867.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,423.14 : 27,638.64 = 6,577.49 : x
  2. Step 2: Convert to fraction form
    18,423.14/27,638.64 = 6,577.49/x
  3. Step 3: Cross multiply
    18,423.14x = 27,638.64 × 6,577.49
  4. Step 4: Simplify right side
    18,423.14x = 181,792,740.02
  5. Step 5: Solve for x
    x = 181,792,740.02/18,423.14
  6. Step 6: Final answer
    x = 9,867.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.