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Finding the Fourth Proportional to 23,002.84, 34,491.30 and 8,003.08

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Solution

The fourth proportional to 23,002.84, 34,491.30 and 8,003.08 is: 12,000.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,002.84 : 34,491.30 = 8,003.08 : x
  2. Step 2: Convert to fraction form
    23,002.84/34,491.30 = 8,003.08/x
  3. Step 3: Cross multiply
    23,002.84x = 34,491.30 × 8,003.08
  4. Step 4: Simplify right side
    23,002.84x = 276,036,633.20
  5. Step 5: Solve for x
    x = 276,036,633.20/23,002.84
  6. Step 6: Final answer
    x = 12,000.11

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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.