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Finding the Fourth Proportional to 12,526, 17,280.96 and 8,049.04

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Solution

The fourth proportional to 12,526, 17,280.96 and 8,049.04 is: 11,104.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,526 : 17,280.96 = 8,049.04 : x
  2. Step 2: Convert to fraction form
    12,526/17,280.96 = 8,049.04/x
  3. Step 3: Cross multiply
    12,526x = 17,280.96 × 8,049.04
  4. Step 4: Simplify right side
    12,526x = 139,095,138.28
  5. Step 5: Solve for x
    x = 139,095,138.28/12,526
  6. Step 6: Final answer
    x = 11,104.51

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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.