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Finding the Fourth Proportional to 12,862.14, 19,277.82 and 6,625.14

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Solution

The fourth proportional to 12,862.14, 19,277.82 and 6,625.14 is: 9,929.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.14 : 19,277.82 = 6,625.14 : x
  2. Step 2: Convert to fraction form
    12,862.14/19,277.82 = 6,625.14/x
  3. Step 3: Cross multiply
    12,862.14x = 19,277.82 × 6,625.14
  4. Step 4: Simplify right side
    12,862.14x = 127,718,256.39
  5. Step 5: Solve for x
    x = 127,718,256.39/12,862.14
  6. Step 6: Final answer
    x = 9,929.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.