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Finding the Fourth Proportional to 20,154.50, 27,826.76 and 18,023.40

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Solution

The fourth proportional to 20,154.50, 27,826.76 and 18,023.40 is: 24,884.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,154.50 : 27,826.76 = 18,023.40 : x
  2. Step 2: Convert to fraction form
    20,154.50/27,826.76 = 18,023.40/x
  3. Step 3: Cross multiply
    20,154.50x = 27,826.76 × 18,023.40
  4. Step 4: Simplify right side
    20,154.50x = 501,532,826.18
  5. Step 5: Solve for x
    x = 501,532,826.18/20,154.50
  6. Step 6: Final answer
    x = 24,884.41

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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.