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Finding the Fourth Proportional to 19,080.96, 28,632.96 and 6,768

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Solution

The fourth proportional to 19,080.96, 28,632.96 and 6,768 is: 10,156.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,080.96 : 28,632.96 = 6,768 : x
  2. Step 2: Convert to fraction form
    19,080.96/28,632.96 = 6,768/x
  3. Step 3: Cross multiply
    19,080.96x = 28,632.96 × 6,768
  4. Step 4: Simplify right side
    19,080.96x = 193,787,873.28
  5. Step 5: Solve for x
    x = 193,787,873.28/19,080.96
  6. Step 6: Final answer
    x = 10,156.09

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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.