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Finding the Fourth Proportional to 13,335.78, 20,003.13 and 4,101.78

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Solution

The fourth proportional to 13,335.78, 20,003.13 and 4,101.78 is: 6,152.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,335.78 : 20,003.13 = 4,101.78 : x
  2. Step 2: Convert to fraction form
    13,335.78/20,003.13 = 4,101.78/x
  3. Step 3: Cross multiply
    13,335.78x = 20,003.13 × 4,101.78
  4. Step 4: Simplify right side
    13,335.78x = 82,048,438.57
  5. Step 5: Solve for x
    x = 82,048,438.57/13,335.78
  6. Step 6: Final answer
    x = 6,152.50

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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.