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Finding the Fourth Proportional to 14,065.68, 19,410.84 and 8,097.24

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Solution

The fourth proportional to 14,065.68, 19,410.84 and 8,097.24 is: 11,174.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,065.68 : 19,410.84 = 8,097.24 : x
  2. Step 2: Convert to fraction form
    14,065.68/19,410.84 = 8,097.24/x
  3. Step 3: Cross multiply
    14,065.68x = 19,410.84 × 8,097.24
  4. Step 4: Simplify right side
    14,065.68x = 157,174,230.08
  5. Step 5: Solve for x
    x = 157,174,230.08/14,065.68
  6. Step 6: Final answer
    x = 11,174.31

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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.