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Finding the Fourth Proportional to 13,746.84, 20,620.17 and 3,358.50

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Solution

The fourth proportional to 13,746.84, 20,620.17 and 3,358.50 is: 5,037.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.84 : 20,620.17 = 3,358.50 : x
  2. Step 2: Convert to fraction form
    13,746.84/20,620.17 = 3,358.50/x
  3. Step 3: Cross multiply
    13,746.84x = 20,620.17 × 3,358.50
  4. Step 4: Simplify right side
    13,746.84x = 69,252,840.95
  5. Step 5: Solve for x
    x = 69,252,840.95/13,746.84
  6. Step 6: Final answer
    x = 5,037.73

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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.