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Finding the Fourth Proportional to 22,782.80, 31,460.04 and 14,299.62

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Solution

The fourth proportional to 22,782.80, 31,460.04 and 14,299.62 is: 19,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,782.80 : 31,460.04 = 14,299.62 : x
  2. Step 2: Convert to fraction form
    22,782.80/31,460.04 = 14,299.62/x
  3. Step 3: Cross multiply
    22,782.80x = 31,460.04 × 14,299.62
  4. Step 4: Simplify right side
    22,782.80x = 449,866,545.69
  5. Step 5: Solve for x
    x = 449,866,545.69/22,782.80
  6. Step 6: Final answer
    x = 19,745.89

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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.