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Finding the Fourth Proportional to 12,616.32, 17,401.20 and 9,258

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Solution

The fourth proportional to 12,616.32, 17,401.20 and 9,258 is: 12,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,616.32 : 17,401.20 = 9,258 : x
  2. Step 2: Convert to fraction form
    12,616.32/17,401.20 = 9,258/x
  3. Step 3: Cross multiply
    12,616.32x = 17,401.20 × 9,258
  4. Step 4: Simplify right side
    12,616.32x = 161,100,309.60
  5. Step 5: Solve for x
    x = 161,100,309.60/12,616.32
  6. Step 6: Final answer
    x = 12,769.20

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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.