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Finding the Fourth Proportional to 23,285.98, 34,934.73 and 7,705.18

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Solution

The fourth proportional to 23,285.98, 34,934.73 and 7,705.18 is: 11,559.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,285.98 : 34,934.73 = 7,705.18 : x
  2. Step 2: Convert to fraction form
    23,285.98/34,934.73 = 7,705.18/x
  3. Step 3: Cross multiply
    23,285.98x = 34,934.73 × 7,705.18
  4. Step 4: Simplify right side
    23,285.98x = 269,178,382.90
  5. Step 5: Solve for x
    x = 269,178,382.90/23,285.98
  6. Step 6: Final answer
    x = 11,559.68

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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.