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Finding the Fourth Proportional to 13,646.32, 20,464.44 and 10,730.32

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Solution

The fourth proportional to 13,646.32, 20,464.44 and 10,730.32 is: 16,091.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,646.32 : 20,464.44 = 10,730.32 : x
  2. Step 2: Convert to fraction form
    13,646.32/20,464.44 = 10,730.32/x
  3. Step 3: Cross multiply
    13,646.32x = 20,464.44 × 10,730.32
  4. Step 4: Simplify right side
    13,646.32x = 219,589,989.82
  5. Step 5: Solve for x
    x = 219,589,989.82/13,646.32
  6. Step 6: Final answer
    x = 16,091.52

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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.