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Finding the Fourth Proportional to 20,407.41, 30,627.57 and 10,549.50

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Solution

The fourth proportional to 20,407.41, 30,627.57 and 10,549.50 is: 15,832.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,407.41 : 30,627.57 = 10,549.50 : x
  2. Step 2: Convert to fraction form
    20,407.41/30,627.57 = 10,549.50/x
  3. Step 3: Cross multiply
    20,407.41x = 30,627.57 × 10,549.50
  4. Step 4: Simplify right side
    20,407.41x = 323,105,549.72
  5. Step 5: Solve for x
    x = 323,105,549.72/20,407.41
  6. Step 6: Final answer
    x = 15,832.76

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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.