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Finding the Fourth Proportional to 12,255.30, 16,907.67 and 7,476.30

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Solution

The fourth proportional to 12,255.30, 16,907.67 and 7,476.30 is: 10,314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,255.30 : 16,907.67 = 7,476.30 : x
  2. Step 2: Convert to fraction form
    12,255.30/16,907.67 = 7,476.30/x
  3. Step 3: Cross multiply
    12,255.30x = 16,907.67 × 7,476.30
  4. Step 4: Simplify right side
    12,255.30x = 126,406,813.22
  5. Step 5: Solve for x
    x = 126,406,813.22/12,255.30
  6. Step 6: Final answer
    x = 10,314.46

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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.