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Finding the Fourth Proportional to 14,066.85, 19,409.04 and 8,097.42

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Solution

The fourth proportional to 14,066.85, 19,409.04 and 8,097.42 is: 11,172.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066.85 : 19,409.04 = 8,097.42 : x
  2. Step 2: Convert to fraction form
    14,066.85/19,409.04 = 8,097.42/x
  3. Step 3: Cross multiply
    14,066.85x = 19,409.04 × 8,097.42
  4. Step 4: Simplify right side
    14,066.85x = 157,163,148.68
  5. Step 5: Solve for x
    x = 157,163,148.68/14,066.85
  6. Step 6: Final answer
    x = 11,172.59

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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.