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Finding the Fourth Proportional to 30,234.83, 41,724.20 and 16,807.32

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Solution

The fourth proportional to 30,234.83, 41,724.20 and 16,807.32 is: 23,194.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,234.83 : 41,724.20 = 16,807.32 : x
  2. Step 2: Convert to fraction form
    30,234.83/41,724.20 = 16,807.32/x
  3. Step 3: Cross multiply
    30,234.83x = 41,724.20 × 16,807.32
  4. Step 4: Simplify right side
    30,234.83x = 701,272,023.16
  5. Step 5: Solve for x
    x = 701,272,023.16/30,234.83
  6. Step 6: Final answer
    x = 23,194.18

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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.