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Finding the Fourth Proportional to 13,633.64, 20,350.96 and 11,698.28

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Solution

The fourth proportional to 13,633.64, 20,350.96 and 11,698.28 is: 17,462.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.64 : 20,350.96 = 11,698.28 : x
  2. Step 2: Convert to fraction form
    13,633.64/20,350.96 = 11,698.28/x
  3. Step 3: Cross multiply
    13,633.64x = 20,350.96 × 11,698.28
  4. Step 4: Simplify right side
    13,633.64x = 238,071,228.35
  5. Step 5: Solve for x
    x = 238,071,228.35/13,633.64
  6. Step 6: Final answer
    x = 17,462.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.