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Finding the Fourth Proportional to 14,096.81, 19,454.24 and 7,809.19

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Solution

The fourth proportional to 14,096.81, 19,454.24 and 7,809.19 is: 10,777.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,096.81 : 19,454.24 = 7,809.19 : x
  2. Step 2: Convert to fraction form
    14,096.81/19,454.24 = 7,809.19/x
  3. Step 3: Cross multiply
    14,096.81x = 19,454.24 × 7,809.19
  4. Step 4: Simplify right side
    14,096.81x = 151,921,856.47
  5. Step 5: Solve for x
    x = 151,921,856.47/14,096.81
  6. Step 6: Final answer
    x = 10,777.04

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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.