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Finding the Fourth Proportional to 12,714.75, 17,546.48 and 7,125.87

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Solution

The fourth proportional to 12,714.75, 17,546.48 and 7,125.87 is: 9,833.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,714.75 : 17,546.48 = 7,125.87 : x
  2. Step 2: Convert to fraction form
    12,714.75/17,546.48 = 7,125.87/x
  3. Step 3: Cross multiply
    12,714.75x = 17,546.48 × 7,125.87
  4. Step 4: Simplify right side
    12,714.75x = 125,033,899.81
  5. Step 5: Solve for x
    x = 125,033,899.81/12,714.75
  6. Step 6: Final answer
    x = 9,833.77

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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.