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Finding the Fourth Proportional to 12,825.84, 17,715.36 and 9,283.44

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Solution

The fourth proportional to 12,825.84, 17,715.36 and 9,283.44 is: 12,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,825.84 : 17,715.36 = 9,283.44 : x
  2. Step 2: Convert to fraction form
    12,825.84/17,715.36 = 9,283.44/x
  3. Step 3: Cross multiply
    12,825.84x = 17,715.36 × 9,283.44
  4. Step 4: Simplify right side
    12,825.84x = 164,459,481.64
  5. Step 5: Solve for x
    x = 164,459,481.64/12,825.84
  6. Step 6: Final answer
    x = 12,822.51

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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.