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Finding the Fourth Proportional to 23,205.92, 34,812.12 and 11,516

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Solution

The fourth proportional to 23,205.92, 34,812.12 and 11,516 is: 17,275.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,205.92 : 34,812.12 = 11,516 : x
  2. Step 2: Convert to fraction form
    23,205.92/34,812.12 = 11,516/x
  3. Step 3: Cross multiply
    23,205.92x = 34,812.12 × 11,516
  4. Step 4: Simplify right side
    23,205.92x = 400,896,373.92
  5. Step 5: Solve for x
    x = 400,896,373.92/23,205.92
  6. Step 6: Final answer
    x = 17,275.61

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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.