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Finding the Fourth Proportional to 12,606.72, 17,396.16 and 7,299.84

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Solution

The fourth proportional to 12,606.72, 17,396.16 and 7,299.84 is: 10,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.72 : 17,396.16 = 7,299.84 : x
  2. Step 2: Convert to fraction form
    12,606.72/17,396.16 = 7,299.84/x
  3. Step 3: Cross multiply
    12,606.72x = 17,396.16 × 7,299.84
  4. Step 4: Simplify right side
    12,606.72x = 126,989,184.61
  5. Step 5: Solve for x
    x = 126,989,184.61/12,606.72
  6. Step 6: Final answer
    x = 10,073.13

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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.