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Finding the Fourth Proportional to 20,775.75, 28,670.85 and 11,344.35

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Solution

The fourth proportional to 20,775.75, 28,670.85 and 11,344.35 is: 15,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.75 : 28,670.85 = 11,344.35 : x
  2. Step 2: Convert to fraction form
    20,775.75/28,670.85 = 11,344.35/x
  3. Step 3: Cross multiply
    20,775.75x = 28,670.85 × 11,344.35
  4. Step 4: Simplify right side
    20,775.75x = 325,252,157.20
  5. Step 5: Solve for x
    x = 325,252,157.20/20,775.75
  6. Step 6: Final answer
    x = 15,655.38

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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.