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Finding the Fourth Proportional to 13,524.78, 20,286.94 and 4,646.28

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Solution

The fourth proportional to 13,524.78, 20,286.94 and 4,646.28 is: 6,969.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,524.78 : 20,286.94 = 4,646.28 : x
  2. Step 2: Convert to fraction form
    13,524.78/20,286.94 = 4,646.28/x
  3. Step 3: Cross multiply
    13,524.78x = 20,286.94 × 4,646.28
  4. Step 4: Simplify right side
    13,524.78x = 94,258,803.58
  5. Step 5: Solve for x
    x = 94,258,803.58/13,524.78
  6. Step 6: Final answer
    x = 6,969.34

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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.