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Finding the Fourth Proportional to 23,502.30, 35,234.96 and 11,647.93

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Solution

The fourth proportional to 23,502.30, 35,234.96 and 11,647.93 is: 17,462.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,502.30 : 35,234.96 = 11,647.93 : x
  2. Step 2: Convert to fraction form
    23,502.30/35,234.96 = 11,647.93/x
  3. Step 3: Cross multiply
    23,502.30x = 35,234.96 × 11,647.93
  4. Step 4: Simplify right side
    23,502.30x = 410,414,113.22
  5. Step 5: Solve for x
    x = 410,414,113.22/23,502.30
  6. Step 6: Final answer
    x = 17,462.72

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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.