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Finding the Fourth Proportional to 12,802.82, 17,652.78 and 8,771.58

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Solution

The fourth proportional to 12,802.82, 17,652.78 and 8,771.58 is: 12,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,802.82 : 17,652.78 = 8,771.58 : x
  2. Step 2: Convert to fraction form
    12,802.82/17,652.78 = 8,771.58/x
  3. Step 3: Cross multiply
    12,802.82x = 17,652.78 × 8,771.58
  4. Step 4: Simplify right side
    12,802.82x = 154,842,771.99
  5. Step 5: Solve for x
    x = 154,842,771.99/12,802.82
  6. Step 6: Final answer
    x = 12,094.43

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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.