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Finding the Fourth Proportional to 12,147.25, 16,763.23 and 7,043.75

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Solution

The fourth proportional to 12,147.25, 16,763.23 and 7,043.75 is: 9,720.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,147.25 : 16,763.23 = 7,043.75 : x
  2. Step 2: Convert to fraction form
    12,147.25/16,763.23 = 7,043.75/x
  3. Step 3: Cross multiply
    12,147.25x = 16,763.23 × 7,043.75
  4. Step 4: Simplify right side
    12,147.25x = 118,076,001.31
  5. Step 5: Solve for x
    x = 118,076,001.31/12,147.25
  6. Step 6: Final answer
    x = 9,720.39

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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.