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Finding the Fourth Proportional to 13,558.77, 20,336.13 and 4,675.50

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Solution

The fourth proportional to 13,558.77, 20,336.13 and 4,675.50 is: 7,012.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,558.77 : 20,336.13 = 4,675.50 : x
  2. Step 2: Convert to fraction form
    13,558.77/20,336.13 = 4,675.50/x
  3. Step 3: Cross multiply
    13,558.77x = 20,336.13 × 4,675.50
  4. Step 4: Simplify right side
    13,558.77x = 95,081,575.82
  5. Step 5: Solve for x
    x = 95,081,575.82/13,558.77
  6. Step 6: Final answer
    x = 7,012.55

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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.