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Finding the Fourth Proportional to 16,821.16, 23,213.20 and 9,751.68

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Solution

The fourth proportional to 16,821.16, 23,213.20 and 9,751.68 is: 13,457.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.16 : 23,213.20 = 9,751.68 : x
  2. Step 2: Convert to fraction form
    16,821.16/23,213.20 = 9,751.68/x
  3. Step 3: Cross multiply
    16,821.16x = 23,213.20 × 9,751.68
  4. Step 4: Simplify right side
    16,821.16x = 226,367,698.18
  5. Step 5: Solve for x
    x = 226,367,698.18/16,821.16
  6. Step 6: Final answer
    x = 13,457.32

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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.