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Finding the Fourth Proportional to 14,065.22, 19,410.05 and 8,096.78

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Solution

The fourth proportional to 14,065.22, 19,410.05 and 8,096.78 is: 11,173.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.22 : 19,410.05 = 8,096.78 : x
  2. Step 2: Convert to fraction form
    14,065.22/19,410.05 = 8,096.78/x
  3. Step 3: Cross multiply
    14,065.22x = 19,410.05 × 8,096.78
  4. Step 4: Simplify right side
    14,065.22x = 157,158,904.64
  5. Step 5: Solve for x
    x = 157,158,904.64/14,065.22
  6. Step 6: Final answer
    x = 11,173.58

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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.