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Finding the Fourth Proportional to 12,323.38, 17,009.32 and 7,021.34

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Solution

The fourth proportional to 12,323.38, 17,009.32 and 7,021.34 is: 9,691.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,323.38 : 17,009.32 = 7,021.34 : x
  2. Step 2: Convert to fraction form
    12,323.38/17,009.32 = 7,021.34/x
  3. Step 3: Cross multiply
    12,323.38x = 17,009.32 × 7,021.34
  4. Step 4: Simplify right side
    12,323.38x = 119,428,218.89
  5. Step 5: Solve for x
    x = 119,428,218.89/12,323.38
  6. Step 6: Final answer
    x = 9,691.19

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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.