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Finding the Fourth Proportional to 12,803.49, 17,676.90 and 9,813.78

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Solution

The fourth proportional to 12,803.49, 17,676.90 and 9,813.78 is: 13,549.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,803.49 : 17,676.90 = 9,813.78 : x
  2. Step 2: Convert to fraction form
    12,803.49/17,676.90 = 9,813.78/x
  3. Step 3: Cross multiply
    12,803.49x = 17,676.90 × 9,813.78
  4. Step 4: Simplify right side
    12,803.49x = 173,477,207.68
  5. Step 5: Solve for x
    x = 173,477,207.68/12,803.49
  6. Step 6: Final answer
    x = 13,549.21

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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.