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Finding the Fourth Proportional to 23,223.26, 34,832.64 and 6,583.16

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Solution

The fourth proportional to 23,223.26, 34,832.64 and 6,583.16 is: 9,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.26 : 34,832.64 = 6,583.16 : x
  2. Step 2: Convert to fraction form
    23,223.26/34,832.64 = 6,583.16/x
  3. Step 3: Cross multiply
    23,223.26x = 34,832.64 × 6,583.16
  4. Step 4: Simplify right side
    23,223.26x = 229,308,842.34
  5. Step 5: Solve for x
    x = 229,308,842.34/23,223.26
  6. Step 6: Final answer
    x = 9,874.10

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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.