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Finding the Fourth Proportional to 13,637.64, 20,454.06 and 3,642.51

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Solution

The fourth proportional to 13,637.64, 20,454.06 and 3,642.51 is: 5,463.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,637.64 : 20,454.06 = 3,642.51 : x
  2. Step 2: Convert to fraction form
    13,637.64/20,454.06 = 3,642.51/x
  3. Step 3: Cross multiply
    13,637.64x = 20,454.06 × 3,642.51
  4. Step 4: Simplify right side
    13,637.64x = 74,504,118.09
  5. Step 5: Solve for x
    x = 74,504,118.09/13,637.64
  6. Step 6: Final answer
    x = 5,463.12

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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.