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Finding the Fourth Proportional to 16,648.56, 22,974.84 and 9,574.80

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Solution

The fourth proportional to 16,648.56, 22,974.84 and 9,574.80 is: 13,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,648.56 : 22,974.84 = 9,574.80 : x
  2. Step 2: Convert to fraction form
    16,648.56/22,974.84 = 9,574.80/x
  3. Step 3: Cross multiply
    16,648.56x = 22,974.84 × 9,574.80
  4. Step 4: Simplify right side
    16,648.56x = 219,979,498.03
  5. Step 5: Solve for x
    x = 219,979,498.03/16,648.56
  6. Step 6: Final answer
    x = 13,213.12

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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.