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Finding the Fourth Proportional to 14,104.73, 19,465.31 and 7,816.97

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Solution

The fourth proportional to 14,104.73, 19,465.31 and 7,816.97 is: 10,787.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,104.73 : 19,465.31 = 7,816.97 : x
  2. Step 2: Convert to fraction form
    14,104.73/19,465.31 = 7,816.97/x
  3. Step 3: Cross multiply
    14,104.73x = 19,465.31 × 7,816.97
  4. Step 4: Simplify right side
    14,104.73x = 152,159,744.31
  5. Step 5: Solve for x
    x = 152,159,744.31/14,104.73
  6. Step 6: Final answer
    x = 10,787.85

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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.