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Finding the Fourth Proportional to 23,813.46, 32,861.29 and 13,202.46

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Solution

The fourth proportional to 23,813.46, 32,861.29 and 13,202.46 is: 18,218.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,813.46 : 32,861.29 = 13,202.46 : x
  2. Step 2: Convert to fraction form
    23,813.46/32,861.29 = 13,202.46/x
  3. Step 3: Cross multiply
    23,813.46x = 32,861.29 × 13,202.46
  4. Step 4: Simplify right side
    23,813.46x = 433,849,866.77
  5. Step 5: Solve for x
    x = 433,849,866.77/23,813.46
  6. Step 6: Final answer
    x = 18,218.68

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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.