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Finding the Fourth Proportional to 16,148.69, 24,222.99 and 4,461.89

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Solution

The fourth proportional to 16,148.69, 24,222.99 and 4,461.89 is: 6,692.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.69 : 24,222.99 = 4,461.89 : x
  2. Step 2: Convert to fraction form
    16,148.69/24,222.99 = 4,461.89/x
  3. Step 3: Cross multiply
    16,148.69x = 24,222.99 × 4,461.89
  4. Step 4: Simplify right side
    16,148.69x = 108,080,316.85
  5. Step 5: Solve for x
    x = 108,080,316.85/16,148.69
  6. Step 6: Final answer
    x = 6,692.82

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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.