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Finding the Fourth Proportional to 12,429.80, 18,612.30 and 9,816.20

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Solution

The fourth proportional to 12,429.80, 18,612.30 and 9,816.20 is: 14,698.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,429.80 : 18,612.30 = 9,816.20 : x
  2. Step 2: Convert to fraction form
    12,429.80/18,612.30 = 9,816.20/x
  3. Step 3: Cross multiply
    12,429.80x = 18,612.30 × 9,816.20
  4. Step 4: Simplify right side
    12,429.80x = 182,702,059.26
  5. Step 5: Solve for x
    x = 182,702,059.26/12,429.80
  6. Step 6: Final answer
    x = 14,698.71

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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.