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Finding the Fourth Proportional to 16,074.66, 24,112 and 7,753.14

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Solution

The fourth proportional to 16,074.66, 24,112 and 7,753.14 is: 11,629.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,074.66 : 24,112 = 7,753.14 : x
  2. Step 2: Convert to fraction form
    16,074.66/24,112 = 7,753.14/x
  3. Step 3: Cross multiply
    16,074.66x = 24,112 × 7,753.14
  4. Step 4: Simplify right side
    16,074.66x = 186,943,711.68
  5. Step 5: Solve for x
    x = 186,943,711.68/16,074.66
  6. Step 6: Final answer
    x = 11,629.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.