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Finding the Fourth Proportional to 17,957.02, 26,924.52 and 6,851.80

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Solution

The fourth proportional to 17,957.02, 26,924.52 and 6,851.80 is: 10,273.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,957.02 : 26,924.52 = 6,851.80 : x
  2. Step 2: Convert to fraction form
    17,957.02/26,924.52 = 6,851.80/x
  3. Step 3: Cross multiply
    17,957.02x = 26,924.52 × 6,851.80
  4. Step 4: Simplify right side
    17,957.02x = 184,481,426.14
  5. Step 5: Solve for x
    x = 184,481,426.14/17,957.02
  6. Step 6: Final answer
    x = 10,273.50

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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.