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Finding the Fourth Proportional to 14,686.26, 20,266.46 and 7,971.66

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Solution

The fourth proportional to 14,686.26, 20,266.46 and 7,971.66 is: 11,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.26 : 20,266.46 = 7,971.66 : x
  2. Step 2: Convert to fraction form
    14,686.26/20,266.46 = 7,971.66/x
  3. Step 3: Cross multiply
    14,686.26x = 20,266.46 × 7,971.66
  4. Step 4: Simplify right side
    14,686.26x = 161,557,288.67
  5. Step 5: Solve for x
    x = 161,557,288.67/14,686.26
  6. Step 6: Final answer
    x = 11,000.57

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