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Finding the Fourth Proportional to 23,234.67, 32,058.34 and 13,674.98

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Solution

The fourth proportional to 23,234.67, 32,058.34 and 13,674.98 is: 18,868.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,234.67 : 32,058.34 = 13,674.98 : x
  2. Step 2: Convert to fraction form
    23,234.67/32,058.34 = 13,674.98/x
  3. Step 3: Cross multiply
    23,234.67x = 32,058.34 × 13,674.98
  4. Step 4: Simplify right side
    23,234.67x = 438,397,158.33
  5. Step 5: Solve for x
    x = 438,397,158.33/23,234.67
  6. Step 6: Final answer
    x = 18,868.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.