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Finding the Fourth Proportional to 14,409.44, 21,606.65 and 6,802.78

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Solution

The fourth proportional to 14,409.44, 21,606.65 and 6,802.78 is: 10,200.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,409.44 : 21,606.65 = 6,802.78 : x
  2. Step 2: Convert to fraction form
    14,409.44/21,606.65 = 6,802.78/x
  3. Step 3: Cross multiply
    14,409.44x = 21,606.65 × 6,802.78
  4. Step 4: Simplify right side
    14,409.44x = 146,985,286.49
  5. Step 5: Solve for x
    x = 146,985,286.49/14,409.44
  6. Step 6: Final answer
    x = 10,200.62

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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.