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Finding the Fourth Proportional to 13,633.64, 20,448.06 and 3,638.51

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Solution

The fourth proportional to 13,633.64, 20,448.06 and 3,638.51 is: 5,457.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,633.64 : 20,448.06 = 3,638.51 : x
  2. Step 2: Convert to fraction form
    13,633.64/20,448.06 = 3,638.51/x
  3. Step 3: Cross multiply
    13,633.64x = 20,448.06 × 3,638.51
  4. Step 4: Simplify right side
    13,633.64x = 74,400,368.55
  5. Step 5: Solve for x
    x = 74,400,368.55/13,633.64
  6. Step 6: Final answer
    x = 5,457.12

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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.