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Finding the Fourth Proportional to 22,658.46, 31,267.99 and 12,449.48

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Solution

The fourth proportional to 22,658.46, 31,267.99 and 12,449.48 is: 17,179.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.46 : 31,267.99 = 12,449.48 : x
  2. Step 2: Convert to fraction form
    22,658.46/31,267.99 = 12,449.48/x
  3. Step 3: Cross multiply
    22,658.46x = 31,267.99 × 12,449.48
  4. Step 4: Simplify right side
    22,658.46x = 389,270,075.37
  5. Step 5: Solve for x
    x = 389,270,075.37/22,658.46
  6. Step 6: Final answer
    x = 17,179.90

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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.