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Finding the Fourth Proportional to 17,414.40, 26,083.20 and 9,196.80

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Solution

The fourth proportional to 17,414.40, 26,083.20 and 9,196.80 is: 13,774.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414.40 : 26,083.20 = 9,196.80 : x
  2. Step 2: Convert to fraction form
    17,414.40/26,083.20 = 9,196.80/x
  3. Step 3: Cross multiply
    17,414.40x = 26,083.20 × 9,196.80
  4. Step 4: Simplify right side
    17,414.40x = 239,881,973.76
  5. Step 5: Solve for x
    x = 239,881,973.76/17,414.40
  6. Step 6: Final answer
    x = 13,774.92

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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.