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Finding the Fourth Proportional to 14,685.69, 20,266.26 and 7,971.31

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Solution

The fourth proportional to 14,685.69, 20,266.26 and 7,971.31 is: 11,000.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,685.69 : 20,266.26 = 7,971.31 : x
  2. Step 2: Convert to fraction form
    14,685.69/20,266.26 = 7,971.31/x
  3. Step 3: Cross multiply
    14,685.69x = 20,266.26 × 7,971.31
  4. Step 4: Simplify right side
    14,685.69x = 161,548,681.28
  5. Step 5: Solve for x
    x = 161,548,681.28/14,685.69
  6. Step 6: Final answer
    x = 11,000.42

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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.