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Finding the Fourth Proportional to 12,204.34, 16,841.25 and 7,889.81

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Solution

The fourth proportional to 12,204.34, 16,841.25 and 7,889.81 is: 10,887.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,204.34 : 16,841.25 = 7,889.81 : x
  2. Step 2: Convert to fraction form
    12,204.34/16,841.25 = 7,889.81/x
  3. Step 3: Cross multiply
    12,204.34x = 16,841.25 × 7,889.81
  4. Step 4: Simplify right side
    12,204.34x = 132,874,178.46
  5. Step 5: Solve for x
    x = 132,874,178.46/12,204.34
  6. Step 6: Final answer
    x = 10,887.46

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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.