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Finding the Fourth Proportional to 19,183.76, 28,775.64 and 10,970

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Solution

The fourth proportional to 19,183.76, 28,775.64 and 10,970 is: 16,455.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.76 : 28,775.64 = 10,970 : x
  2. Step 2: Convert to fraction form
    19,183.76/28,775.64 = 10,970/x
  3. Step 3: Cross multiply
    19,183.76x = 28,775.64 × 10,970
  4. Step 4: Simplify right side
    19,183.76x = 315,668,770.80
  5. Step 5: Solve for x
    x = 315,668,770.80/19,183.76
  6. Step 6: Final answer
    x = 16,455.00

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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.