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Finding the Fourth Proportional to 12,328.34, 16,999.73 and 7,846.36

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Solution

The fourth proportional to 12,328.34, 16,999.73 and 7,846.36 is: 10,819.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,328.34 : 16,999.73 = 7,846.36 : x
  2. Step 2: Convert to fraction form
    12,328.34/16,999.73 = 7,846.36/x
  3. Step 3: Cross multiply
    12,328.34x = 16,999.73 × 7,846.36
  4. Step 4: Simplify right side
    12,328.34x = 133,385,963.89
  5. Step 5: Solve for x
    x = 133,385,963.89/12,328.34
  6. Step 6: Final answer
    x = 10,819.46

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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.