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Finding the Fourth Proportional to 13,412.83, 20,126.54 and 5,627.11

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Solution

The fourth proportional to 13,412.83, 20,126.54 and 5,627.11 is: 8,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.83 : 20,126.54 = 5,627.11 : x
  2. Step 2: Convert to fraction form
    13,412.83/20,126.54 = 5,627.11/x
  3. Step 3: Cross multiply
    13,412.83x = 20,126.54 × 5,627.11
  4. Step 4: Simplify right side
    13,412.83x = 113,254,254.50
  5. Step 5: Solve for x
    x = 113,254,254.50/13,412.83
  6. Step 6: Final answer
    x = 8,443.73

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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.