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Finding the Fourth Proportional to 23,504, 32,434.94 and 12,893.54

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Solution

The fourth proportional to 23,504, 32,434.94 and 12,893.54 is: 17,792.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,504 : 32,434.94 = 12,893.54 : x
  2. Step 2: Convert to fraction form
    23,504/32,434.94 = 12,893.54/x
  3. Step 3: Cross multiply
    23,504x = 32,434.94 × 12,893.54
  4. Step 4: Simplify right side
    23,504x = 418,201,196.29
  5. Step 5: Solve for x
    x = 418,201,196.29/23,504
  6. Step 6: Final answer
    x = 17,792.77

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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.