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Finding the Fourth Proportional to 23,197.04, 34,814.01 and 8,410.18

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Solution

The fourth proportional to 23,197.04, 34,814.01 and 8,410.18 is: 12,621.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,197.04 : 34,814.01 = 8,410.18 : x
  2. Step 2: Convert to fraction form
    23,197.04/34,814.01 = 8,410.18/x
  3. Step 3: Cross multiply
    23,197.04x = 34,814.01 × 8,410.18
  4. Step 4: Simplify right side
    23,197.04x = 292,792,090.62
  5. Step 5: Solve for x
    x = 292,792,090.62/23,197.04
  6. Step 6: Final answer
    x = 12,621.96

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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.