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Finding the Fourth Proportional to 14,460.96, 21,680.96 and 9,769.36

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Solution

The fourth proportional to 14,460.96, 21,680.96 and 9,769.36 is: 14,646.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.96 : 21,680.96 = 9,769.36 : x
  2. Step 2: Convert to fraction form
    14,460.96/21,680.96 = 9,769.36/x
  3. Step 3: Cross multiply
    14,460.96x = 21,680.96 × 9,769.36
  4. Step 4: Simplify right side
    14,460.96x = 211,809,103.39
  5. Step 5: Solve for x
    x = 211,809,103.39/14,460.96
  6. Step 6: Final answer
    x = 14,646.96

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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.