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Finding the Fourth Proportional to 23,138.34, 34,682.94 and 12,033.92

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Solution

The fourth proportional to 23,138.34, 34,682.94 and 12,033.92 is: 18,038.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,138.34 : 34,682.94 = 12,033.92 : x
  2. Step 2: Convert to fraction form
    23,138.34/34,682.94 = 12,033.92/x
  3. Step 3: Cross multiply
    23,138.34x = 34,682.94 × 12,033.92
  4. Step 4: Simplify right side
    23,138.34x = 417,371,551.91
  5. Step 5: Solve for x
    x = 417,371,551.91/23,138.34
  6. Step 6: Final answer
    x = 18,038.09

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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.