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Finding the Fourth Proportional to 14,109.94, 19,472.33 and 7,822.31

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Solution

The fourth proportional to 14,109.94, 19,472.33 and 7,822.31 is: 10,795.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,109.94 : 19,472.33 = 7,822.31 : x
  2. Step 2: Convert to fraction form
    14,109.94/19,472.33 = 7,822.31/x
  3. Step 3: Cross multiply
    14,109.94x = 19,472.33 × 7,822.31
  4. Step 4: Simplify right side
    14,109.94x = 152,318,611.25
  5. Step 5: Solve for x
    x = 152,318,611.25/14,109.94
  6. Step 6: Final answer
    x = 10,795.13

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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.