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Finding the Fourth Proportional to 12,678.75, 17,496.36 and 7,013.72

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Solution

The fourth proportional to 12,678.75, 17,496.36 and 7,013.72 is: 9,678.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,678.75 : 17,496.36 = 7,013.72 : x
  2. Step 2: Convert to fraction form
    12,678.75/17,496.36 = 7,013.72/x
  3. Step 3: Cross multiply
    12,678.75x = 17,496.36 × 7,013.72
  4. Step 4: Simplify right side
    12,678.75x = 122,714,613.80
  5. Step 5: Solve for x
    x = 122,714,613.80/12,678.75
  6. Step 6: Final answer
    x = 9,678.76

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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.