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Finding the Fourth Proportional to 23,143.92, 34,731.04 and 9,294

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Solution

The fourth proportional to 23,143.92, 34,731.04 and 9,294 is: 13,947.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,143.92 : 34,731.04 = 9,294 : x
  2. Step 2: Convert to fraction form
    23,143.92/34,731.04 = 9,294/x
  3. Step 3: Cross multiply
    23,143.92x = 34,731.04 × 9,294
  4. Step 4: Simplify right side
    23,143.92x = 322,790,285.76
  5. Step 5: Solve for x
    x = 322,790,285.76/23,143.92
  6. Step 6: Final answer
    x = 13,947.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.