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Finding the Fourth Proportional to 20,500.92, 30,689.37 and 14,580.21

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Solution

The fourth proportional to 20,500.92, 30,689.37 and 14,580.21 is: 21,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,500.92 : 30,689.37 = 14,580.21 : x
  2. Step 2: Convert to fraction form
    20,500.92/30,689.37 = 14,580.21/x
  3. Step 3: Cross multiply
    20,500.92x = 30,689.37 × 14,580.21
  4. Step 4: Simplify right side
    20,500.92x = 447,457,459.37
  5. Step 5: Solve for x
    x = 447,457,459.37/20,500.92
  6. Step 6: Final answer
    x = 21,826.21

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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.