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Finding the Fourth Proportional to 12,729.34, 17,569.83 and 7,142.14

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Solution

The fourth proportional to 12,729.34, 17,569.83 and 7,142.14 is: 9,858.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,729.34 : 17,569.83 = 7,142.14 : x
  2. Step 2: Convert to fraction form
    12,729.34/17,569.83 = 7,142.14/x
  3. Step 3: Cross multiply
    12,729.34x = 17,569.83 × 7,142.14
  4. Step 4: Simplify right side
    12,729.34x = 125,486,185.64
  5. Step 5: Solve for x
    x = 125,486,185.64/12,729.34
  6. Step 6: Final answer
    x = 9,858.03

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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.