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Finding the Fourth Proportional to 23,233.72, 34,852.74 and 7,651.48

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Solution

The fourth proportional to 23,233.72, 34,852.74 and 7,651.48 is: 11,477.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,233.72 : 34,852.74 = 7,651.48 : x
  2. Step 2: Convert to fraction form
    23,233.72/34,852.74 = 7,651.48/x
  3. Step 3: Cross multiply
    23,233.72x = 34,852.74 × 7,651.48
  4. Step 4: Simplify right side
    23,233.72x = 266,675,043.06
  5. Step 5: Solve for x
    x = 266,675,043.06/23,233.72
  6. Step 6: Final answer
    x = 11,477.93

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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.