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Finding the Fourth Proportional to 12,409.13, 17,128.59 and 7,944.91

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Solution

The fourth proportional to 12,409.13, 17,128.59 and 7,944.91 is: 10,966.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,409.13 : 17,128.59 = 7,944.91 : x
  2. Step 2: Convert to fraction form
    12,409.13/17,128.59 = 7,944.91/x
  3. Step 3: Cross multiply
    12,409.13x = 17,128.59 × 7,944.91
  4. Step 4: Simplify right side
    12,409.13x = 136,085,020.33
  5. Step 5: Solve for x
    x = 136,085,020.33/12,409.13
  6. Step 6: Final answer
    x = 10,966.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.