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Finding the Fourth Proportional to 12,706.72, 17,534.76 and 7,401.52

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Solution

The fourth proportional to 12,706.72, 17,534.76 and 7,401.52 is: 10,213.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.72 : 17,534.76 = 7,401.52 : x
  2. Step 2: Convert to fraction form
    12,706.72/17,534.76 = 7,401.52/x
  3. Step 3: Cross multiply
    12,706.72x = 17,534.76 × 7,401.52
  4. Step 4: Simplify right side
    12,706.72x = 129,783,876.84
  5. Step 5: Solve for x
    x = 129,783,876.84/12,706.72
  6. Step 6: Final answer
    x = 10,213.80

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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.