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Finding the Fourth Proportional to 17,536, 26,316.96 and 8,302

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Solution

The fourth proportional to 17,536, 26,316.96 and 8,302 is: 12,459.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,536 : 26,316.96 = 8,302 : x
  2. Step 2: Convert to fraction form
    17,536/26,316.96 = 8,302/x
  3. Step 3: Cross multiply
    17,536x = 26,316.96 × 8,302
  4. Step 4: Simplify right side
    17,536x = 218,483,401.92
  5. Step 5: Solve for x
    x = 218,483,401.92/17,536
  6. Step 6: Final answer
    x = 12,459.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.