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Finding the Fourth Proportional to 12,638.16, 17,440.66 and 7,049.16

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Solution

The fourth proportional to 12,638.16, 17,440.66 and 7,049.16 is: 9,727.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,638.16 : 17,440.66 = 7,049.16 : x
  2. Step 2: Convert to fraction form
    12,638.16/17,440.66 = 7,049.16/x
  3. Step 3: Cross multiply
    12,638.16x = 17,440.66 × 7,049.16
  4. Step 4: Simplify right side
    12,638.16x = 122,941,919.82
  5. Step 5: Solve for x
    x = 122,941,919.82/12,638.16
  6. Step 6: Final answer
    x = 9,727.84

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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.