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Finding the Fourth Proportional to 14,588.18, 20,131.81 and 8,300.96

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Solution

The fourth proportional to 14,588.18, 20,131.81 and 8,300.96 is: 11,455.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.18 : 20,131.81 = 8,300.96 : x
  2. Step 2: Convert to fraction form
    14,588.18/20,131.81 = 8,300.96/x
  3. Step 3: Cross multiply
    14,588.18x = 20,131.81 × 8,300.96
  4. Step 4: Simplify right side
    14,588.18x = 167,113,308.03
  5. Step 5: Solve for x
    x = 167,113,308.03/14,588.18
  6. Step 6: Final answer
    x = 11,455.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.