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Finding the Fourth Proportional to 23,467.31, 32,384.69 and 12,711.92

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Solution

The fourth proportional to 23,467.31, 32,384.69 and 12,711.92 is: 17,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,467.31 : 32,384.69 = 12,711.92 : x
  2. Step 2: Convert to fraction form
    23,467.31/32,384.69 = 12,711.92/x
  3. Step 3: Cross multiply
    23,467.31x = 32,384.69 × 12,711.92
  4. Step 4: Simplify right side
    23,467.31x = 411,671,363.02
  5. Step 5: Solve for x
    x = 411,671,363.02/23,467.31
  6. Step 6: Final answer
    x = 17,542.34

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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.