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Finding the Fourth Proportional to 13,632.19, 20,448.29 and 4,272.94

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Solution

The fourth proportional to 13,632.19, 20,448.29 and 4,272.94 is: 6,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,632.19 : 20,448.29 = 4,272.94 : x
  2. Step 2: Convert to fraction form
    13,632.19/20,448.29 = 4,272.94/x
  3. Step 3: Cross multiply
    13,632.19x = 20,448.29 × 4,272.94
  4. Step 4: Simplify right side
    13,632.19x = 87,374,214.03
  5. Step 5: Solve for x
    x = 87,374,214.03/13,632.19
  6. Step 6: Final answer
    x = 6,409.41

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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.