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Finding the Fourth Proportional to 12,409.80, 18,582.30 and 8,003.40

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Solution

The fourth proportional to 12,409.80, 18,582.30 and 8,003.40 is: 11,984.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.80 : 18,582.30 = 8,003.40 : x
  2. Step 2: Convert to fraction form
    12,409.80/18,582.30 = 8,003.40/x
  3. Step 3: Cross multiply
    12,409.80x = 18,582.30 × 8,003.40
  4. Step 4: Simplify right side
    12,409.80x = 148,721,579.82
  5. Step 5: Solve for x
    x = 148,721,579.82/12,409.80
  6. Step 6: Final answer
    x = 11,984.20

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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.