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Finding the Fourth Proportional to 12,938.67, 17,855.43 and 7,561.42

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Solution

The fourth proportional to 12,938.67, 17,855.43 and 7,561.42 is: 10,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,938.67 : 17,855.43 = 7,561.42 : x
  2. Step 2: Convert to fraction form
    12,938.67/17,855.43 = 7,561.42/x
  3. Step 3: Cross multiply
    12,938.67x = 17,855.43 × 7,561.42
  4. Step 4: Simplify right side
    12,938.67x = 135,012,405.51
  5. Step 5: Solve for x
    x = 135,012,405.51/12,938.67
  6. Step 6: Final answer
    x = 10,434.80

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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.