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Finding the Fourth Proportional to 12,954, 17,876.52 and 7,365

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Solution

The fourth proportional to 12,954, 17,876.52 and 7,365 is: 10,163.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,954 : 17,876.52 = 7,365 : x
  2. Step 2: Convert to fraction form
    12,954/17,876.52 = 7,365/x
  3. Step 3: Cross multiply
    12,954x = 17,876.52 × 7,365
  4. Step 4: Simplify right side
    12,954x = 131,660,569.80
  5. Step 5: Solve for x
    x = 131,660,569.80/12,954
  6. Step 6: Final answer
    x = 10,163.70

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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.