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Finding the Fourth Proportional to 12,867, 19,256.64 and 10,789.32

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Solution

The fourth proportional to 12,867, 19,256.64 and 10,789.32 is: 16,147.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,867 : 19,256.64 = 10,789.32 : x
  2. Step 2: Convert to fraction form
    12,867/19,256.64 = 10,789.32/x
  3. Step 3: Cross multiply
    12,867x = 19,256.64 × 10,789.32
  4. Step 4: Simplify right side
    12,867x = 207,766,051.08
  5. Step 5: Solve for x
    x = 207,766,051.08/12,867
  6. Step 6: Final answer
    x = 16,147.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.