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Finding the Fourth Proportional to 23,142.01, 34,705.84 and 8,349.01

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Solution

The fourth proportional to 23,142.01, 34,705.84 and 8,349.01 is: 12,520.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,142.01 : 34,705.84 = 8,349.01 : x
  2. Step 2: Convert to fraction form
    23,142.01/34,705.84 = 8,349.01/x
  3. Step 3: Cross multiply
    23,142.01x = 34,705.84 × 8,349.01
  4. Step 4: Simplify right side
    23,142.01x = 289,759,405.22
  5. Step 5: Solve for x
    x = 289,759,405.22/23,142.01
  6. Step 6: Final answer
    x = 12,520.93

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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.