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Finding the Fourth Proportional to 12,714.50, 17,546.52 and 7,409.78

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Solution

The fourth proportional to 12,714.50, 17,546.52 and 7,409.78 is: 10,225.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.50 : 17,546.52 = 7,409.78 : x
  2. Step 2: Convert to fraction form
    12,714.50/17,546.52 = 7,409.78/x
  3. Step 3: Cross multiply
    12,714.50x = 17,546.52 × 7,409.78
  4. Step 4: Simplify right side
    12,714.50x = 130,015,852.97
  5. Step 5: Solve for x
    x = 130,015,852.97/12,714.50
  6. Step 6: Final answer
    x = 10,225.79

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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.