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Finding the Fourth Proportional to 23,549, 32,497.64 and 12,938.84

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Solution

The fourth proportional to 23,549, 32,497.64 and 12,938.84 is: 17,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,549 : 32,497.64 = 12,938.84 : x
  2. Step 2: Convert to fraction form
    23,549/32,497.64 = 12,938.84/x
  3. Step 3: Cross multiply
    23,549x = 32,497.64 × 12,938.84
  4. Step 4: Simplify right side
    23,549x = 420,481,764.34
  5. Step 5: Solve for x
    x = 420,481,764.34/23,549
  6. Step 6: Final answer
    x = 17,855.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.