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Finding the Fourth Proportional to 18,509.36, 27,774.96 and 6,830.78

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Solution

The fourth proportional to 18,509.36, 27,774.96 and 6,830.78 is: 10,250.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,509.36 : 27,774.96 = 6,830.78 : x
  2. Step 2: Convert to fraction form
    18,509.36/27,774.96 = 6,830.78/x
  3. Step 3: Cross multiply
    18,509.36x = 27,774.96 × 6,830.78
  4. Step 4: Simplify right side
    18,509.36x = 189,724,641.27
  5. Step 5: Solve for x
    x = 189,724,641.27/18,509.36
  6. Step 6: Final answer
    x = 10,250.20

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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.