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Finding the Fourth Proportional to 16,242.14, 24,364.16 and 4,556.27

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Solution

The fourth proportional to 16,242.14, 24,364.16 and 4,556.27 is: 6,834.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,242.14 : 24,364.16 = 4,556.27 : x
  2. Step 2: Convert to fraction form
    16,242.14/24,364.16 = 4,556.27/x
  3. Step 3: Cross multiply
    16,242.14x = 24,364.16 × 4,556.27
  4. Step 4: Simplify right side
    16,242.14x = 111,009,691.28
  5. Step 5: Solve for x
    x = 111,009,691.28/16,242.14
  6. Step 6: Final answer
    x = 6,834.67

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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.