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Finding the Fourth Proportional to 23,174, 34,673.52 and 14,367.68

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Solution

The fourth proportional to 23,174, 34,673.52 and 14,367.68 is: 21,497.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,174 : 34,673.52 = 14,367.68 : x
  2. Step 2: Convert to fraction form
    23,174/34,673.52 = 14,367.68/x
  3. Step 3: Cross multiply
    23,174x = 34,673.52 × 14,367.68
  4. Step 4: Simplify right side
    23,174x = 498,178,039.83
  5. Step 5: Solve for x
    x = 498,178,039.83/23,174
  6. Step 6: Final answer
    x = 21,497.28

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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.