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Finding the Fourth Proportional to 16,821.75, 23,214.02 and 9,752.27

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Solution

The fourth proportional to 16,821.75, 23,214.02 and 9,752.27 is: 13,458.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,821.75 : 23,214.02 = 9,752.27 : x
  2. Step 2: Convert to fraction form
    16,821.75/23,214.02 = 9,752.27/x
  3. Step 3: Cross multiply
    16,821.75x = 23,214.02 × 9,752.27
  4. Step 4: Simplify right side
    16,821.75x = 226,389,400.10
  5. Step 5: Solve for x
    x = 226,389,400.10/16,821.75
  6. Step 6: Final answer
    x = 13,458.14

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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.