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Finding the Fourth Proportional to 16,090.68, 24,131.12 and 7,765.52

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Solution

The fourth proportional to 16,090.68, 24,131.12 and 7,765.52 is: 11,645.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,090.68 : 24,131.12 = 7,765.52 : x
  2. Step 2: Convert to fraction form
    16,090.68/24,131.12 = 7,765.52/x
  3. Step 3: Cross multiply
    16,090.68x = 24,131.12 × 7,765.52
  4. Step 4: Simplify right side
    16,090.68x = 187,390,694.98
  5. Step 5: Solve for x
    x = 187,390,694.98/16,090.68
  6. Step 6: Final answer
    x = 11,645.92

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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.