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Finding the Fourth Proportional to 16,818.94, 23,209.54 and 9,744.00

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Solution

The fourth proportional to 16,818.94, 23,209.54 and 9,744.00 is: 13,446.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818.94 : 23,209.54 = 9,744.00 : x
  2. Step 2: Convert to fraction form
    16,818.94/23,209.54 = 9,744.00/x
  3. Step 3: Cross multiply
    16,818.94x = 23,209.54 × 9,744.00
  4. Step 4: Simplify right side
    16,818.94x = 226,153,646.36
  5. Step 5: Solve for x
    x = 226,153,646.36/16,818.94
  6. Step 6: Final answer
    x = 13,446.37

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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.