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Finding the Fourth Proportional to 14,073.84, 19,422.18 and 7,786.62

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Solution

The fourth proportional to 14,073.84, 19,422.18 and 7,786.62 is: 10,745.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,073.84 : 19,422.18 = 7,786.62 : x
  2. Step 2: Convert to fraction form
    14,073.84/19,422.18 = 7,786.62/x
  3. Step 3: Cross multiply
    14,073.84x = 19,422.18 × 7,786.62
  4. Step 4: Simplify right side
    14,073.84x = 151,233,135.23
  5. Step 5: Solve for x
    x = 151,233,135.23/14,073.84
  6. Step 6: Final answer
    x = 10,745.69

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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.