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Finding the Fourth Proportional to 20,657.96, 30,987.36 and 7,341.56

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Solution

The fourth proportional to 20,657.96, 30,987.36 and 7,341.56 is: 11,012.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,657.96 : 30,987.36 = 7,341.56 : x
  2. Step 2: Convert to fraction form
    20,657.96/30,987.36 = 7,341.56/x
  3. Step 3: Cross multiply
    20,657.96x = 30,987.36 × 7,341.56
  4. Step 4: Simplify right side
    20,657.96x = 227,495,562.68
  5. Step 5: Solve for x
    x = 227,495,562.68/20,657.96
  6. Step 6: Final answer
    x = 11,012.49

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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.