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Finding the Fourth Proportional to 23,223.42, 34,834.52 and 8,230.32

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Solution

The fourth proportional to 23,223.42, 34,834.52 and 8,230.32 is: 12,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,223.42 : 34,834.52 = 8,230.32 : x
  2. Step 2: Convert to fraction form
    23,223.42/34,834.52 = 8,230.32/x
  3. Step 3: Cross multiply
    23,223.42x = 34,834.52 × 8,230.32
  4. Step 4: Simplify right side
    23,223.42x = 286,699,267.22
  5. Step 5: Solve for x
    x = 286,699,267.22/23,223.42
  6. Step 6: Final answer
    x = 12,345.26

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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.