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Finding the Fourth Proportional to 23,828.65, 35,741.32 and 8,035.00

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Solution

The fourth proportional to 23,828.65, 35,741.32 and 8,035.00 is: 12,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,828.65 : 35,741.32 = 8,035.00 : x
  2. Step 2: Convert to fraction form
    23,828.65/35,741.32 = 8,035.00/x
  3. Step 3: Cross multiply
    23,828.65x = 35,741.32 × 8,035.00
  4. Step 4: Simplify right side
    23,828.65x = 287,181,396.76
  5. Step 5: Solve for x
    x = 287,181,396.76/23,828.65
  6. Step 6: Final answer
    x = 12,051.94

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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.