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Finding the Fourth Proportional to 14,194.50, 19,588.50 and 7,906.92

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Solution

The fourth proportional to 14,194.50, 19,588.50 and 7,906.92 is: 10,911.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.50 : 19,588.50 = 7,906.92 : x
  2. Step 2: Convert to fraction form
    14,194.50/19,588.50 = 7,906.92/x
  3. Step 3: Cross multiply
    14,194.50x = 19,588.50 × 7,906.92
  4. Step 4: Simplify right side
    14,194.50x = 154,884,702.42
  5. Step 5: Solve for x
    x = 154,884,702.42/14,194.50
  6. Step 6: Final answer
    x = 10,911.60

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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.