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Finding the Fourth Proportional to 12,167.56, 16,789.71 and 7,130.63

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Solution

The fourth proportional to 12,167.56, 16,789.71 and 7,130.63 is: 9,839.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,167.56 : 16,789.71 = 7,130.63 : x
  2. Step 2: Convert to fraction form
    12,167.56/16,789.71 = 7,130.63/x
  3. Step 3: Cross multiply
    12,167.56x = 16,789.71 × 7,130.63
  4. Step 4: Simplify right side
    12,167.56x = 119,721,090.22
  5. Step 5: Solve for x
    x = 119,721,090.22/12,167.56
  6. Step 6: Final answer
    x = 9,839.37

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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.