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Finding the Fourth Proportional to 23,287.68, 32,127.57 and 14,208.39

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Solution

The fourth proportional to 23,287.68, 32,127.57 and 14,208.39 is: 19,601.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,287.68 : 32,127.57 = 14,208.39 : x
  2. Step 2: Convert to fraction form
    23,287.68/32,127.57 = 14,208.39/x
  3. Step 3: Cross multiply
    23,287.68x = 32,127.57 × 14,208.39
  4. Step 4: Simplify right side
    23,287.68x = 456,481,044.31
  5. Step 5: Solve for x
    x = 456,481,044.31/23,287.68
  6. Step 6: Final answer
    x = 19,601.83

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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.