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Finding the Fourth Proportional to 14,811.28, 20,442.44 and 9,512.80

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Solution

The fourth proportional to 14,811.28, 20,442.44 and 9,512.80 is: 13,129.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,811.28 : 20,442.44 = 9,512.80 : x
  2. Step 2: Convert to fraction form
    14,811.28/20,442.44 = 9,512.80/x
  3. Step 3: Cross multiply
    14,811.28x = 20,442.44 × 9,512.80
  4. Step 4: Simplify right side
    14,811.28x = 194,464,843.23
  5. Step 5: Solve for x
    x = 194,464,843.23/14,811.28
  6. Step 6: Final answer
    x = 13,129.51

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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.