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Finding the Fourth Proportional to 16,049.63, 24,080.14 and 7,164.15

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Solution

The fourth proportional to 16,049.63, 24,080.14 and 7,164.15 is: 10,748.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,049.63 : 24,080.14 = 7,164.15 : x
  2. Step 2: Convert to fraction form
    16,049.63/24,080.14 = 7,164.15/x
  3. Step 3: Cross multiply
    16,049.63x = 24,080.14 × 7,164.15
  4. Step 4: Simplify right side
    16,049.63x = 172,513,734.98
  5. Step 5: Solve for x
    x = 172,513,734.98/16,049.63
  6. Step 6: Final answer
    x = 10,748.77

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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.