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Finding the Fourth Proportional to 14,194.95, 19,588.26 and 7,821.33

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Solution

The fourth proportional to 14,194.95, 19,588.26 and 7,821.33 is: 10,793.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.95 : 19,588.26 = 7,821.33 : x
  2. Step 2: Convert to fraction form
    14,194.95/19,588.26 = 7,821.33/x
  3. Step 3: Cross multiply
    14,194.95x = 19,588.26 × 7,821.33
  4. Step 4: Simplify right side
    14,194.95x = 153,206,245.59
  5. Step 5: Solve for x
    x = 153,206,245.59/14,194.95
  6. Step 6: Final answer
    x = 10,793.01

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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.