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Finding the Fourth Proportional to 24,382.59, 36,564.65 and 9,583.41

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Solution

The fourth proportional to 24,382.59, 36,564.65 and 9,583.41 is: 14,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,382.59 : 36,564.65 = 9,583.41 : x
  2. Step 2: Convert to fraction form
    24,382.59/36,564.65 = 9,583.41/x
  3. Step 3: Cross multiply
    24,382.59x = 36,564.65 × 9,583.41
  4. Step 4: Simplify right side
    24,382.59x = 350,414,157.59
  5. Step 5: Solve for x
    x = 350,414,157.59/24,382.59
  6. Step 6: Final answer
    x = 14,371.49

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Why These Related Problems?

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