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Finding the Fourth Proportional to 32,147.04, 44,363.28 and 18,000

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Solution

The fourth proportional to 32,147.04, 44,363.28 and 18,000 is: 24,840.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,147.04 : 44,363.28 = 18,000 : x
  2. Step 2: Convert to fraction form
    32,147.04/44,363.28 = 18,000/x
  3. Step 3: Cross multiply
    32,147.04x = 44,363.28 × 18,000
  4. Step 4: Simplify right side
    32,147.04x = 798,539,040
  5. Step 5: Solve for x
    x = 798,539,040/32,147.04
  6. Step 6: Final answer
    x = 24,840.20

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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.