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Finding the Fourth Proportional to 14,096.32, 19,453.56 and 7,808.69

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Solution

The fourth proportional to 14,096.32, 19,453.56 and 7,808.69 is: 10,776.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.32 : 19,453.56 = 7,808.69 : x
  2. Step 2: Convert to fraction form
    14,096.32/19,453.56 = 7,808.69/x
  3. Step 3: Cross multiply
    14,096.32x = 19,453.56 × 7,808.69
  4. Step 4: Simplify right side
    14,096.32x = 151,906,819.44
  5. Step 5: Solve for x
    x = 151,906,819.44/14,096.32
  6. Step 6: Final answer
    x = 10,776.35

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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.