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Finding the Fourth Proportional to 20,765.84, 28,656.81 and 11,334.38

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Solution

The fourth proportional to 20,765.84, 28,656.81 and 11,334.38 is: 15,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.84 : 28,656.81 = 11,334.38 : x
  2. Step 2: Convert to fraction form
    20,765.84/28,656.81 = 11,334.38/x
  3. Step 3: Cross multiply
    20,765.84x = 28,656.81 × 11,334.38
  4. Step 4: Simplify right side
    20,765.84x = 324,807,030.84
  5. Step 5: Solve for x
    x = 324,807,030.84/20,765.84
  6. Step 6: Final answer
    x = 15,641.41

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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.