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Finding the Fourth Proportional to 16,077.70, 24,080.10 and 10,172.80

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Solution

The fourth proportional to 16,077.70, 24,080.10 and 10,172.80 is: 15,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,077.70 : 24,080.10 = 10,172.80 : x
  2. Step 2: Convert to fraction form
    16,077.70/24,080.10 = 10,172.80/x
  3. Step 3: Cross multiply
    16,077.70x = 24,080.10 × 10,172.80
  4. Step 4: Simplify right side
    16,077.70x = 244,962,041.28
  5. Step 5: Solve for x
    x = 244,962,041.28/16,077.70
  6. Step 6: Final answer
    x = 15,236.14

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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.