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Finding the Fourth Proportional to 16,853.32, 23,257.57 and 9,401.32

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Solution

The fourth proportional to 16,853.32, 23,257.57 and 9,401.32 is: 12,973.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,853.32 : 23,257.57 = 9,401.32 : x
  2. Step 2: Convert to fraction form
    16,853.32/23,257.57 = 9,401.32/x
  3. Step 3: Cross multiply
    16,853.32x = 23,257.57 × 9,401.32
  4. Step 4: Simplify right side
    16,853.32x = 218,651,857.99
  5. Step 5: Solve for x
    x = 218,651,857.99/16,853.32
  6. Step 6: Final answer
    x = 12,973.82

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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.