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Finding the Fourth Proportional to 13,730.34, 20,602.41 and 5,416.32

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Solution

The fourth proportional to 13,730.34, 20,602.41 and 5,416.32 is: 8,127.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,730.34 : 20,602.41 = 5,416.32 : x
  2. Step 2: Convert to fraction form
    13,730.34/20,602.41 = 5,416.32/x
  3. Step 3: Cross multiply
    13,730.34x = 20,602.41 × 5,416.32
  4. Step 4: Simplify right side
    13,730.34x = 111,589,245.33
  5. Step 5: Solve for x
    x = 111,589,245.33/13,730.34
  6. Step 6: Final answer
    x = 8,127.20

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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.