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Finding the Fourth Proportional to 16,818.44, 23,209.62 and 9,742.28

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Solution

The fourth proportional to 16,818.44, 23,209.62 and 9,742.28 is: 13,444.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,818.44 : 23,209.62 = 9,742.28 : x
  2. Step 2: Convert to fraction form
    16,818.44/23,209.62 = 9,742.28/x
  3. Step 3: Cross multiply
    16,818.44x = 23,209.62 × 9,742.28
  4. Step 4: Simplify right side
    16,818.44x = 226,114,616.73
  5. Step 5: Solve for x
    x = 226,114,616.73/16,818.44
  6. Step 6: Final answer
    x = 13,444.45

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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.