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Finding the Fourth Proportional to 12,665.60, 17,477.28 and 7,076.48

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Solution

The fourth proportional to 12,665.60, 17,477.28 and 7,076.48 is: 9,764.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,665.60 : 17,477.28 = 7,076.48 : x
  2. Step 2: Convert to fraction form
    12,665.60/17,477.28 = 7,076.48/x
  3. Step 3: Cross multiply
    12,665.60x = 17,477.28 × 7,076.48
  4. Step 4: Simplify right side
    12,665.60x = 123,677,622.37
  5. Step 5: Solve for x
    x = 123,677,622.37/12,665.60
  6. Step 6: Final answer
    x = 9,764.85

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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.