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Finding the Fourth Proportional to 16,698, 23,043.48 and 9,246.48

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Solution

The fourth proportional to 16,698, 23,043.48 and 9,246.48 is: 12,760.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,698 : 23,043.48 = 9,246.48 : x
  2. Step 2: Convert to fraction form
    16,698/23,043.48 = 9,246.48/x
  3. Step 3: Cross multiply
    16,698x = 23,043.48 × 9,246.48
  4. Step 4: Simplify right side
    16,698x = 213,071,076.95
  5. Step 5: Solve for x
    x = 213,071,076.95/16,698
  6. Step 6: Final answer
    x = 12,760.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.