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Finding the Fourth Proportional to 16,242.64, 24,364.90 and 4,556.78

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Solution

The fourth proportional to 16,242.64, 24,364.90 and 4,556.78 is: 6,835.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.64 : 24,364.90 = 4,556.78 : x
  2. Step 2: Convert to fraction form
    16,242.64/24,364.90 = 4,556.78/x
  3. Step 3: Cross multiply
    16,242.64x = 24,364.90 × 4,556.78
  4. Step 4: Simplify right side
    16,242.64x = 111,025,489.02
  5. Step 5: Solve for x
    x = 111,025,489.02/16,242.64
  6. Step 6: Final answer
    x = 6,835.43

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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.