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Finding the Fourth Proportional to 16,449.70, 24,646.20 and 7,666.60

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Solution

The fourth proportional to 16,449.70, 24,646.20 and 7,666.60 is: 11,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,449.70 : 24,646.20 = 7,666.60 : x
  2. Step 2: Convert to fraction form
    16,449.70/24,646.20 = 7,666.60/x
  3. Step 3: Cross multiply
    16,449.70x = 24,646.20 × 7,666.60
  4. Step 4: Simplify right side
    16,449.70x = 188,952,556.92
  5. Step 5: Solve for x
    x = 188,952,556.92/16,449.70
  6. Step 6: Final answer
    x = 11,486.69

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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.