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Finding the Fourth Proportional to 14,137.60, 19,496.86 and 9,092.92

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Solution

The fourth proportional to 14,137.60, 19,496.86 and 9,092.92 is: 12,539.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,137.60 : 19,496.86 = 9,092.92 : x
  2. Step 2: Convert to fraction form
    14,137.60/19,496.86 = 9,092.92/x
  3. Step 3: Cross multiply
    14,137.60x = 19,496.86 × 9,092.92
  4. Step 4: Simplify right side
    14,137.60x = 177,283,388.23
  5. Step 5: Solve for x
    x = 177,283,388.23/14,137.60
  6. Step 6: Final answer
    x = 12,539.85

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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.