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Finding the Fourth Proportional to 12,843.66, 17,725.53 and 7,538.37

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Solution

The fourth proportional to 12,843.66, 17,725.53 and 7,538.37 is: 10,403.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.66 : 17,725.53 = 7,538.37 : x
  2. Step 2: Convert to fraction form
    12,843.66/17,725.53 = 7,538.37/x
  3. Step 3: Cross multiply
    12,843.66x = 17,725.53 × 7,538.37
  4. Step 4: Simplify right side
    12,843.66x = 133,621,603.59
  5. Step 5: Solve for x
    x = 133,621,603.59/12,843.66
  6. Step 6: Final answer
    x = 10,403.70

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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.