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Finding the Fourth Proportional to 16,690.46, 23,032.25 and 9,974.54

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Solution

The fourth proportional to 16,690.46, 23,032.25 and 9,974.54 is: 13,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,690.46 : 23,032.25 = 9,974.54 : x
  2. Step 2: Convert to fraction form
    16,690.46/23,032.25 = 9,974.54/x
  3. Step 3: Cross multiply
    16,690.46x = 23,032.25 × 9,974.54
  4. Step 4: Simplify right side
    16,690.46x = 229,736,144.03
  5. Step 5: Solve for x
    x = 229,736,144.03/16,690.46
  6. Step 6: Final answer
    x = 13,764.52

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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.