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Finding the Fourth Proportional to 16,821.45, 23,212.98 and 9,746.50

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Solution

The fourth proportional to 16,821.45, 23,212.98 and 9,746.50 is: 13,449.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.45 : 23,212.98 = 9,746.50 : x
  2. Step 2: Convert to fraction form
    16,821.45/23,212.98 = 9,746.50/x
  3. Step 3: Cross multiply
    16,821.45x = 23,212.98 × 9,746.50
  4. Step 4: Simplify right side
    16,821.45x = 226,245,309.57
  5. Step 5: Solve for x
    x = 226,245,309.57/16,821.45
  6. Step 6: Final answer
    x = 13,449.81

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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.