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Finding the Fourth Proportional to 14,073.67, 19,421.42 and 7,786.04

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Solution

The fourth proportional to 14,073.67, 19,421.42 and 7,786.04 is: 10,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.67 : 19,421.42 = 7,786.04 : x
  2. Step 2: Convert to fraction form
    14,073.67/19,421.42 = 7,786.04/x
  3. Step 3: Cross multiply
    14,073.67x = 19,421.42 × 7,786.04
  4. Step 4: Simplify right side
    14,073.67x = 151,215,952.98
  5. Step 5: Solve for x
    x = 151,215,952.98/14,073.67
  6. Step 6: Final answer
    x = 10,744.60

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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.