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Finding the Fourth Proportional to 14,194.72, 19,588.71 and 7,821.40

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Solution

The fourth proportional to 14,194.72, 19,588.71 and 7,821.40 is: 10,793.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,194.72 : 19,588.71 = 7,821.40 : x
  2. Step 2: Convert to fraction form
    14,194.72/19,588.71 = 7,821.40/x
  3. Step 3: Cross multiply
    14,194.72x = 19,588.71 × 7,821.40
  4. Step 4: Simplify right side
    14,194.72x = 153,211,136.39
  5. Step 5: Solve for x
    x = 153,211,136.39/14,194.72
  6. Step 6: Final answer
    x = 10,793.53

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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.