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Finding the Fourth Proportional to 20,542.57, 30,807.68 and 10,676.45

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Solution

The fourth proportional to 20,542.57, 30,807.68 and 10,676.45 is: 16,011.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,542.57 : 30,807.68 = 10,676.45 : x
  2. Step 2: Convert to fraction form
    20,542.57/30,807.68 = 10,676.45/x
  3. Step 3: Cross multiply
    20,542.57x = 30,807.68 × 10,676.45
  4. Step 4: Simplify right side
    20,542.57x = 328,916,678.77
  5. Step 5: Solve for x
    x = 328,916,678.77/20,542.57
  6. Step 6: Final answer
    x = 16,011.47

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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.