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Finding the Fourth Proportional to 20,487.60, 30,741.15 and 7,341.30

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Solution

The fourth proportional to 20,487.60, 30,741.15 and 7,341.30 is: 11,015.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,487.60 : 30,741.15 = 7,341.30 : x
  2. Step 2: Convert to fraction form
    20,487.60/30,741.15 = 7,341.30/x
  3. Step 3: Cross multiply
    20,487.60x = 30,741.15 × 7,341.30
  4. Step 4: Simplify right side
    20,487.60x = 225,680,004.50
  5. Step 5: Solve for x
    x = 225,680,004.50/20,487.60
  6. Step 6: Final answer
    x = 11,015.44

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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.