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Finding the Fourth Proportional to 14,470.25, 21,694.94 and 9,778.62

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Solution

The fourth proportional to 14,470.25, 21,694.94 and 9,778.62 is: 14,660.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,470.25 : 21,694.94 = 9,778.62 : x
  2. Step 2: Convert to fraction form
    14,470.25/21,694.94 = 9,778.62/x
  3. Step 3: Cross multiply
    14,470.25x = 21,694.94 × 9,778.62
  4. Step 4: Simplify right side
    14,470.25x = 212,146,643.32
  5. Step 5: Solve for x
    x = 212,146,643.32/14,470.25
  6. Step 6: Final answer
    x = 14,660.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.