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Finding the Fourth Proportional to 12,307.24, 16,978.22 and 7,268.03

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Solution

The fourth proportional to 12,307.24, 16,978.22 and 7,268.03 is: 10,026.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,307.24 : 16,978.22 = 7,268.03 : x
  2. Step 2: Convert to fraction form
    12,307.24/16,978.22 = 7,268.03/x
  3. Step 3: Cross multiply
    12,307.24x = 16,978.22 × 7,268.03
  4. Step 4: Simplify right side
    12,307.24x = 123,398,212.31
  5. Step 5: Solve for x
    x = 123,398,212.31/12,307.24
  6. Step 6: Final answer
    x = 10,026.47

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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.