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Finding the Fourth Proportional to 12,928.72, 17,836.32 and 8,211.28

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Solution

The fourth proportional to 12,928.72, 17,836.32 and 8,211.28 is: 11,328.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,928.72 : 17,836.32 = 8,211.28 : x
  2. Step 2: Convert to fraction form
    12,928.72/17,836.32 = 8,211.28/x
  3. Step 3: Cross multiply
    12,928.72x = 17,836.32 × 8,211.28
  4. Step 4: Simplify right side
    12,928.72x = 146,459,017.69
  5. Step 5: Solve for x
    x = 146,459,017.69/12,928.72
  6. Step 6: Final answer
    x = 11,328.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.