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Finding the Fourth Proportional to 12,002.70, 18,009.45 and 5,760.30

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Solution

The fourth proportional to 12,002.70, 18,009.45 and 5,760.30 is: 8,643.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,002.70 : 18,009.45 = 5,760.30 : x
  2. Step 2: Convert to fraction form
    12,002.70/18,009.45 = 5,760.30/x
  3. Step 3: Cross multiply
    12,002.70x = 18,009.45 × 5,760.30
  4. Step 4: Simplify right side
    12,002.70x = 103,739,834.84
  5. Step 5: Solve for x
    x = 103,739,834.84/12,002.70
  6. Step 6: Final answer
    x = 8,643.04

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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.