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Finding the Fourth Proportional to 23,460, 35,198.64 and 12,366.24

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Solution

The fourth proportional to 23,460, 35,198.64 and 12,366.24 is: 18,553.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,460 : 35,198.64 = 12,366.24 : x
  2. Step 2: Convert to fraction form
    23,460/35,198.64 = 12,366.24/x
  3. Step 3: Cross multiply
    23,460x = 35,198.64 × 12,366.24
  4. Step 4: Simplify right side
    23,460x = 435,274,829.91
  5. Step 5: Solve for x
    x = 435,274,829.91/23,460
  6. Step 6: Final answer
    x = 18,553.91

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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.