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Finding the Fourth Proportional to 13,256, 18,293.60 and 7,287.84

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Solution

The fourth proportional to 13,256, 18,293.60 and 7,287.84 is: 10,057.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,256 : 18,293.60 = 7,287.84 : x
  2. Step 2: Convert to fraction form
    13,256/18,293.60 = 7,287.84/x
  3. Step 3: Cross multiply
    13,256x = 18,293.60 × 7,287.84
  4. Step 4: Simplify right side
    13,256x = 133,320,829.82
  5. Step 5: Solve for x
    x = 133,320,829.82/13,256
  6. Step 6: Final answer
    x = 10,057.40

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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.