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Finding the Fourth Proportional to 24,589.49, 36,884.25 and 10,540.40

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Solution

The fourth proportional to 24,589.49, 36,884.25 and 10,540.40 is: 15,810.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,589.49 : 36,884.25 = 10,540.40 : x
  2. Step 2: Convert to fraction form
    24,589.49/36,884.25 = 10,540.40/x
  3. Step 3: Cross multiply
    24,589.49x = 36,884.25 × 10,540.40
  4. Step 4: Simplify right side
    24,589.49x = 388,774,564.28
  5. Step 5: Solve for x
    x = 388,774,564.28/24,589.49
  6. Step 6: Final answer
    x = 15,810.60

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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.