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Finding the Fourth Proportional to 13,402.63, 20,106 and 4,041.41

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Solution

The fourth proportional to 13,402.63, 20,106 and 4,041.41 is: 6,062.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.63 : 20,106 = 4,041.41 : x
  2. Step 2: Convert to fraction form
    13,402.63/20,106 = 4,041.41/x
  3. Step 3: Cross multiply
    13,402.63x = 20,106 × 4,041.41
  4. Step 4: Simplify right side
    13,402.63x = 81,256,589.46
  5. Step 5: Solve for x
    x = 81,256,589.46/13,402.63
  6. Step 6: Final answer
    x = 6,062.73

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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.