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Finding the Fourth Proportional to 13,168.18, 19,756.86 and 5,771.66

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Solution

The fourth proportional to 13,168.18, 19,756.86 and 5,771.66 is: 8,659.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,168.18 : 19,756.86 = 5,771.66 : x
  2. Step 2: Convert to fraction form
    13,168.18/19,756.86 = 5,771.66/x
  3. Step 3: Cross multiply
    13,168.18x = 19,756.86 × 5,771.66
  4. Step 4: Simplify right side
    13,168.18x = 114,029,878.59
  5. Step 5: Solve for x
    x = 114,029,878.59/13,168.18
  6. Step 6: Final answer
    x = 8,659.50

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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.