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Finding the Fourth Proportional to 14,686.20, 20,266.36 and 7,971.60

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Solution

The fourth proportional to 14,686.20, 20,266.36 and 7,971.60 is: 11,000.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.20 : 20,266.36 = 7,971.60 : x
  2. Step 2: Convert to fraction form
    14,686.20/20,266.36 = 7,971.60/x
  3. Step 3: Cross multiply
    14,686.20x = 20,266.36 × 7,971.60
  4. Step 4: Simplify right side
    14,686.20x = 161,555,315.38
  5. Step 5: Solve for x
    x = 161,555,315.38/14,686.20
  6. Step 6: Final answer
    x = 11,000.48

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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.