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Finding the Fourth Proportional to 23,563.17, 35,349.93 and 7,767.56

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Solution

The fourth proportional to 23,563.17, 35,349.93 and 7,767.56 is: 11,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,563.17 : 35,349.93 = 7,767.56 : x
  2. Step 2: Convert to fraction form
    23,563.17/35,349.93 = 7,767.56/x
  3. Step 3: Cross multiply
    23,563.17x = 35,349.93 × 7,767.56
  4. Step 4: Simplify right side
    23,563.17x = 274,582,790.65
  5. Step 5: Solve for x
    x = 274,582,790.65/23,563.17
  6. Step 6: Final answer
    x = 11,653.05

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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.