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Finding the Fourth Proportional to 14,805.40, 20,431.01 and 8,091.02

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Solution

The fourth proportional to 14,805.40, 20,431.01 and 8,091.02 is: 11,165.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,805.40 : 20,431.01 = 8,091.02 : x
  2. Step 2: Convert to fraction form
    14,805.40/20,431.01 = 8,091.02/x
  3. Step 3: Cross multiply
    14,805.40x = 20,431.01 × 8,091.02
  4. Step 4: Simplify right side
    14,805.40x = 165,307,710.53
  5. Step 5: Solve for x
    x = 165,307,710.53/14,805.40
  6. Step 6: Final answer
    x = 11,165.37

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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.