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Finding the Fourth Proportional to 12,862.17, 17,748.54 and 7,196.58

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Solution

The fourth proportional to 12,862.17, 17,748.54 and 7,196.58 is: 9,930.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,862.17 : 17,748.54 = 7,196.58 : x
  2. Step 2: Convert to fraction form
    12,862.17/17,748.54 = 7,196.58/x
  3. Step 3: Cross multiply
    12,862.17x = 17,748.54 × 7,196.58
  4. Step 4: Simplify right side
    12,862.17x = 127,728,787.99
  5. Step 5: Solve for x
    x = 127,728,787.99/12,862.17
  6. Step 6: Final answer
    x = 9,930.58

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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.