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Finding the Fourth Proportional to 20,453.74, 30,666.94 and 16,509.85

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Solution

The fourth proportional to 20,453.74, 30,666.94 and 16,509.85 is: 24,753.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,453.74 : 30,666.94 = 16,509.85 : x
  2. Step 2: Convert to fraction form
    20,453.74/30,666.94 = 16,509.85/x
  3. Step 3: Cross multiply
    20,453.74x = 30,666.94 × 16,509.85
  4. Step 4: Simplify right side
    20,453.74x = 506,306,461.42
  5. Step 5: Solve for x
    x = 506,306,461.42/20,453.74
  6. Step 6: Final answer
    x = 24,753.74

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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.