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Finding the Fourth Proportional to 13,416.14, 20,128.26 and 4,651.14

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Solution

The fourth proportional to 13,416.14, 20,128.26 and 4,651.14 is: 6,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,416.14 : 20,128.26 = 4,651.14 : x
  2. Step 2: Convert to fraction form
    13,416.14/20,128.26 = 4,651.14/x
  3. Step 3: Cross multiply
    13,416.14x = 20,128.26 × 4,651.14
  4. Step 4: Simplify right side
    13,416.14x = 93,619,355.22
  5. Step 5: Solve for x
    x = 93,619,355.22/13,416.14
  6. Step 6: Final answer
    x = 6,978.11

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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.