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Finding the Fourth Proportional to 12,410.84, 17,126.88 and 6,821.84

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Solution

The fourth proportional to 12,410.84, 17,126.88 and 6,821.84 is: 9,414.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.84 : 17,126.88 = 6,821.84 : x
  2. Step 2: Convert to fraction form
    12,410.84/17,126.88 = 6,821.84/x
  3. Step 3: Cross multiply
    12,410.84x = 17,126.88 × 6,821.84
  4. Step 4: Simplify right side
    12,410.84x = 116,836,835.06
  5. Step 5: Solve for x
    x = 116,836,835.06/12,410.84
  6. Step 6: Final answer
    x = 9,414.10

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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.