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Finding the Fourth Proportional to 12,732.34, 17,567.04 and 8,256.28

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Solution

The fourth proportional to 12,732.34, 17,567.04 and 8,256.28 is: 11,391.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,732.34 : 17,567.04 = 8,256.28 : x
  2. Step 2: Convert to fraction form
    12,732.34/17,567.04 = 8,256.28/x
  3. Step 3: Cross multiply
    12,732.34x = 17,567.04 × 8,256.28
  4. Step 4: Simplify right side
    12,732.34x = 145,038,401.01
  5. Step 5: Solve for x
    x = 145,038,401.01/12,732.34
  6. Step 6: Final answer
    x = 11,391.34

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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.