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Finding the Fourth Proportional to 12,043.90, 16,614.66 and 8,499.34

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Solution

The fourth proportional to 12,043.90, 16,614.66 and 8,499.34 is: 11,724.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,043.90 : 16,614.66 = 8,499.34 : x
  2. Step 2: Convert to fraction form
    12,043.90/16,614.66 = 8,499.34/x
  3. Step 3: Cross multiply
    12,043.90x = 16,614.66 × 8,499.34
  4. Step 4: Simplify right side
    12,043.90x = 141,213,644.32
  5. Step 5: Solve for x
    x = 141,213,644.32/12,043.90
  6. Step 6: Final answer
    x = 11,724.91

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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.