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Finding the Fourth Proportional to 16,821.95, 23,213.67 and 9,747

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Solution

The fourth proportional to 16,821.95, 23,213.67 and 9,747 is: 13,450.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.95 : 23,213.67 = 9,747 : x
  2. Step 2: Convert to fraction form
    16,821.95/23,213.67 = 9,747/x
  3. Step 3: Cross multiply
    16,821.95x = 23,213.67 × 9,747
  4. Step 4: Simplify right side
    16,821.95x = 226,263,641.49
  5. Step 5: Solve for x
    x = 226,263,641.49/16,821.95
  6. Step 6: Final answer
    x = 13,450.50

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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.