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Finding the Fourth Proportional to 13,735.86, 20,566.86 and 11,300.08

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Solution

The fourth proportional to 13,735.86, 20,566.86 and 11,300.08 is: 16,919.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,735.86 : 20,566.86 = 11,300.08 : x
  2. Step 2: Convert to fraction form
    13,735.86/20,566.86 = 11,300.08/x
  3. Step 3: Cross multiply
    13,735.86x = 20,566.86 × 11,300.08
  4. Step 4: Simplify right side
    13,735.86x = 232,407,163.35
  5. Step 5: Solve for x
    x = 232,407,163.35/13,735.86
  6. Step 6: Final answer
    x = 16,919.74

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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.