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Finding the Fourth Proportional to 12,806.26, 17,670.74 and 7,428.46

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Solution

The fourth proportional to 12,806.26, 17,670.74 and 7,428.46 is: 10,250.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,806.26 : 17,670.74 = 7,428.46 : x
  2. Step 2: Convert to fraction form
    12,806.26/17,670.74 = 7,428.46/x
  3. Step 3: Cross multiply
    12,806.26x = 17,670.74 × 7,428.46
  4. Step 4: Simplify right side
    12,806.26x = 131,266,385.26
  5. Step 5: Solve for x
    x = 131,266,385.26/12,806.26
  6. Step 6: Final answer
    x = 10,250.17

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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.