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Finding the Fourth Proportional to 23,465.86, 35,114.96 and 20,382.20

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Solution

The fourth proportional to 23,465.86, 35,114.96 and 20,382.20 is: 30,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,465.86 : 35,114.96 = 20,382.20 : x
  2. Step 2: Convert to fraction form
    23,465.86/35,114.96 = 20,382.20/x
  3. Step 3: Cross multiply
    23,465.86x = 35,114.96 × 20,382.20
  4. Step 4: Simplify right side
    23,465.86x = 715,720,137.71
  5. Step 5: Solve for x
    x = 715,720,137.71/23,465.86
  6. Step 6: Final answer
    x = 30,500.49

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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.