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Finding the Fourth Proportional to 32,164.20, 44,386.78 and 18,017

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Solution

The fourth proportional to 32,164.20, 44,386.78 and 18,017 is: 24,863.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,164.20 : 44,386.78 = 18,017 : x
  2. Step 2: Convert to fraction form
    32,164.20/44,386.78 = 18,017/x
  3. Step 3: Cross multiply
    32,164.20x = 44,386.78 × 18,017
  4. Step 4: Simplify right side
    32,164.20x = 799,716,615.26
  5. Step 5: Solve for x
    x = 799,716,615.26/32,164.20
  6. Step 6: Final answer
    x = 24,863.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.