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Finding the Fourth Proportional to 16,810.52, 23,198.31 and 9,256.69

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Solution

The fourth proportional to 16,810.52, 23,198.31 and 9,256.69 is: 12,774.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,810.52 : 23,198.31 = 9,256.69 : x
  2. Step 2: Convert to fraction form
    16,810.52/23,198.31 = 9,256.69/x
  3. Step 3: Cross multiply
    16,810.52x = 23,198.31 × 9,256.69
  4. Step 4: Simplify right side
    16,810.52x = 214,739,564.19
  5. Step 5: Solve for x
    x = 214,739,564.19/16,810.52
  6. Step 6: Final answer
    x = 12,774.12

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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.