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Finding the Fourth Proportional to 23,048.18, 31,808.42 and 13,361

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Solution

The fourth proportional to 23,048.18, 31,808.42 and 13,361 is: 18,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048.18 : 31,808.42 = 13,361 : x
  2. Step 2: Convert to fraction form
    23,048.18/31,808.42 = 13,361/x
  3. Step 3: Cross multiply
    23,048.18x = 31,808.42 × 13,361
  4. Step 4: Simplify right side
    23,048.18x = 424,992,299.62
  5. Step 5: Solve for x
    x = 424,992,299.62/23,048.18
  6. Step 6: Final answer
    x = 18,439.30

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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.