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Finding the Fourth Proportional to 12,225.80, 18,306.30 and 9,633.80

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Solution

The fourth proportional to 12,225.80, 18,306.30 and 9,633.80 is: 14,425.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,225.80 : 18,306.30 = 9,633.80 : x
  2. Step 2: Convert to fraction form
    12,225.80/18,306.30 = 9,633.80/x
  3. Step 3: Cross multiply
    12,225.80x = 18,306.30 × 9,633.80
  4. Step 4: Simplify right side
    12,225.80x = 176,359,232.94
  5. Step 5: Solve for x
    x = 176,359,232.94/12,225.80
  6. Step 6: Final answer
    x = 14,425.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.