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Finding the Fourth Proportional to 12,954.14, 17,876.32 and 7,289.20

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Solution

The fourth proportional to 12,954.14, 17,876.32 and 7,289.20 is: 10,058.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954.14 : 17,876.32 = 7,289.20 : x
  2. Step 2: Convert to fraction form
    12,954.14/17,876.32 = 7,289.20/x
  3. Step 3: Cross multiply
    12,954.14x = 17,876.32 × 7,289.20
  4. Step 4: Simplify right side
    12,954.14x = 130,304,008.83
  5. Step 5: Solve for x
    x = 130,304,008.83/12,954.14
  6. Step 6: Final answer
    x = 10,058.87

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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.