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Finding the Fourth Proportional to 12,152.30, 18,235.65 and 8,004.20

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Solution

The fourth proportional to 12,152.30, 18,235.65 and 8,004.20 is: 12,011.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.30 : 18,235.65 = 8,004.20 : x
  2. Step 2: Convert to fraction form
    12,152.30/18,235.65 = 8,004.20/x
  3. Step 3: Cross multiply
    12,152.30x = 18,235.65 × 8,004.20
  4. Step 4: Simplify right side
    12,152.30x = 145,961,789.73
  5. Step 5: Solve for x
    x = 145,961,789.73/12,152.30
  6. Step 6: Final answer
    x = 12,011.04

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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.