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Finding the Fourth Proportional to 14,255.32, 19,672.33 and 7,967.69

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Solution

The fourth proportional to 14,255.32, 19,672.33 and 7,967.69 is: 10,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,255.32 : 19,672.33 = 7,967.69 : x
  2. Step 2: Convert to fraction form
    14,255.32/19,672.33 = 7,967.69/x
  3. Step 3: Cross multiply
    14,255.32x = 19,672.33 × 7,967.69
  4. Step 4: Simplify right side
    14,255.32x = 156,743,027.02
  5. Step 5: Solve for x
    x = 156,743,027.02/14,255.32
  6. Step 6: Final answer
    x = 10,995.41

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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.