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Finding the Fourth Proportional to 17,266.25, 25,851.14 and 9,340.42

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Solution

The fourth proportional to 17,266.25, 25,851.14 and 9,340.42 is: 13,984.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,266.25 : 25,851.14 = 9,340.42 : x
  2. Step 2: Convert to fraction form
    17,266.25/25,851.14 = 9,340.42/x
  3. Step 3: Cross multiply
    17,266.25x = 25,851.14 × 9,340.42
  4. Step 4: Simplify right side
    17,266.25x = 241,460,463.80
  5. Step 5: Solve for x
    x = 241,460,463.80/17,266.25
  6. Step 6: Final answer
    x = 13,984.54

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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.