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Finding the Fourth Proportional to 12,434.80, 18,628.72 and 9,628.45

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Solution

The fourth proportional to 12,434.80, 18,628.72 and 9,628.45 is: 14,424.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,434.80 : 18,628.72 = 9,628.45 : x
  2. Step 2: Convert to fraction form
    12,434.80/18,628.72 = 9,628.45/x
  3. Step 3: Cross multiply
    12,434.80x = 18,628.72 × 9,628.45
  4. Step 4: Simplify right side
    12,434.80x = 179,365,628.44
  5. Step 5: Solve for x
    x = 179,365,628.44/12,434.80
  6. Step 6: Final answer
    x = 14,424.49

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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.