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Finding the Fourth Proportional to 16,976.32, 23,427.36 and 9,524.32

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Solution

The fourth proportional to 16,976.32, 23,427.36 and 9,524.32 is: 13,143.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.32 : 23,427.36 = 9,524.32 : x
  2. Step 2: Convert to fraction form
    16,976.32/23,427.36 = 9,524.32/x
  3. Step 3: Cross multiply
    16,976.32x = 23,427.36 × 9,524.32
  4. Step 4: Simplify right side
    16,976.32x = 223,129,673.40
  5. Step 5: Solve for x
    x = 223,129,673.40/16,976.32
  6. Step 6: Final answer
    x = 13,143.58

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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.