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Finding the Fourth Proportional to 12,357.93, 17,034.00 and 9,664.38

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Solution

The fourth proportional to 12,357.93, 17,034.00 and 9,664.38 is: 13,321.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,357.93 : 17,034.00 = 9,664.38 : x
  2. Step 2: Convert to fraction form
    12,357.93/17,034.00 = 9,664.38/x
  3. Step 3: Cross multiply
    12,357.93x = 17,034.00 × 9,664.38
  4. Step 4: Simplify right side
    12,357.93x = 164,623,012.68
  5. Step 5: Solve for x
    x = 164,623,012.68/12,357.93
  6. Step 6: Final answer
    x = 13,321.24

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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.