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Finding the Fourth Proportional to 15,076.79, 20,805.68 and 8,362.38

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Solution

The fourth proportional to 15,076.79, 20,805.68 and 8,362.38 is: 11,539.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,076.79 : 20,805.68 = 8,362.38 : x
  2. Step 2: Convert to fraction form
    15,076.79/20,805.68 = 8,362.38/x
  3. Step 3: Cross multiply
    15,076.79x = 20,805.68 × 8,362.38
  4. Step 4: Simplify right side
    15,076.79x = 173,984,960.51
  5. Step 5: Solve for x
    x = 173,984,960.51/15,076.79
  6. Step 6: Final answer
    x = 11,539.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.