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Finding the Fourth Proportional to 12,837.24, 17,715.84 and 7,734.24

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Solution

The fourth proportional to 12,837.24, 17,715.84 and 7,734.24 is: 10,673.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.24 : 17,715.84 = 7,734.24 : x
  2. Step 2: Convert to fraction form
    12,837.24/17,715.84 = 7,734.24/x
  3. Step 3: Cross multiply
    12,837.24x = 17,715.84 × 7,734.24
  4. Step 4: Simplify right side
    12,837.24x = 137,018,558.36
  5. Step 5: Solve for x
    x = 137,018,558.36/12,837.24
  6. Step 6: Final answer
    x = 10,673.52

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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.