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Finding the Fourth Proportional to 13,705.58, 20,550.94 and 4,818.62

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Solution

The fourth proportional to 13,705.58, 20,550.94 and 4,818.62 is: 7,225.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.58 : 20,550.94 = 4,818.62 : x
  2. Step 2: Convert to fraction form
    13,705.58/20,550.94 = 4,818.62/x
  3. Step 3: Cross multiply
    13,705.58x = 20,550.94 × 4,818.62
  4. Step 4: Simplify right side
    13,705.58x = 99,027,170.50
  5. Step 5: Solve for x
    x = 99,027,170.50/13,705.58
  6. Step 6: Final answer
    x = 7,225.32

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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.