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Finding the Fourth Proportional to 12,725.34, 17,564.31 and 7,138.14

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Solution

The fourth proportional to 12,725.34, 17,564.31 and 7,138.14 is: 9,852.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,725.34 : 17,564.31 = 7,138.14 : x
  2. Step 2: Convert to fraction form
    12,725.34/17,564.31 = 7,138.14/x
  3. Step 3: Cross multiply
    12,725.34x = 17,564.31 × 7,138.14
  4. Step 4: Simplify right side
    12,725.34x = 125,376,503.78
  5. Step 5: Solve for x
    x = 125,376,503.78/12,725.34
  6. Step 6: Final answer
    x = 9,852.51

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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.