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Finding the Fourth Proportional to 12,066.71, 16,651.98 and 7,034.31

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Solution

The fourth proportional to 12,066.71, 16,651.98 and 7,034.31 is: 9,707.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,066.71 : 16,651.98 = 7,034.31 : x
  2. Step 2: Convert to fraction form
    12,066.71/16,651.98 = 7,034.31/x
  3. Step 3: Cross multiply
    12,066.71x = 16,651.98 × 7,034.31
  4. Step 4: Simplify right side
    12,066.71x = 117,135,189.43
  5. Step 5: Solve for x
    x = 117,135,189.43/12,066.71
  6. Step 6: Final answer
    x = 9,707.31

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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.