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Finding the Fourth Proportional to 12,852.76, 17,733.56 and 7,546.54

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Solution

The fourth proportional to 12,852.76, 17,733.56 and 7,546.54 is: 10,412.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,852.76 : 17,733.56 = 7,546.54 : x
  2. Step 2: Convert to fraction form
    12,852.76/17,733.56 = 7,546.54/x
  3. Step 3: Cross multiply
    12,852.76x = 17,733.56 × 7,546.54
  4. Step 4: Simplify right side
    12,852.76x = 133,827,019.88
  5. Step 5: Solve for x
    x = 133,827,019.88/12,852.76
  6. Step 6: Final answer
    x = 10,412.32

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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.