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Finding the Fourth Proportional to 12,484.05, 17,223.80 and 7,768.02

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Solution

The fourth proportional to 12,484.05, 17,223.80 and 7,768.02 is: 10,717.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,484.05 : 17,223.80 = 7,768.02 : x
  2. Step 2: Convert to fraction form
    12,484.05/17,223.80 = 7,768.02/x
  3. Step 3: Cross multiply
    12,484.05x = 17,223.80 × 7,768.02
  4. Step 4: Simplify right side
    12,484.05x = 133,794,822.88
  5. Step 5: Solve for x
    x = 133,794,822.88/12,484.05
  6. Step 6: Final answer
    x = 10,717.26

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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.