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Finding the Fourth Proportional to 12,680.16, 17,497.76 and 7,014.72

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Solution

The fourth proportional to 12,680.16, 17,497.76 and 7,014.72 is: 9,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,680.16 : 17,497.76 = 7,014.72 : x
  2. Step 2: Convert to fraction form
    12,680.16/17,497.76 = 7,014.72/x
  3. Step 3: Cross multiply
    12,680.16x = 17,497.76 × 7,014.72
  4. Step 4: Simplify right side
    12,680.16x = 122,741,887.03
  5. Step 5: Solve for x
    x = 122,741,887.03/12,680.16
  6. Step 6: Final answer
    x = 9,679.84

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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.