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Finding the Fourth Proportional to 16,821.30, 23,212.04 and 9,748.17

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Solution

The fourth proportional to 16,821.30, 23,212.04 and 9,748.17 is: 13,451.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.30 : 23,212.04 = 9,748.17 : x
  2. Step 2: Convert to fraction form
    16,821.30/23,212.04 = 9,748.17/x
  3. Step 3: Cross multiply
    16,821.30x = 23,212.04 × 9,748.17
  4. Step 4: Simplify right side
    16,821.30x = 226,274,863.23
  5. Step 5: Solve for x
    x = 226,274,863.23/16,821.30
  6. Step 6: Final answer
    x = 13,451.69

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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.