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Finding the Fourth Proportional to 14,588.40, 21,906.90 and 8,019.30

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Solution

The fourth proportional to 14,588.40, 21,906.90 and 8,019.30 is: 12,042.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,588.40 : 21,906.90 = 8,019.30 : x
  2. Step 2: Convert to fraction form
    14,588.40/21,906.90 = 8,019.30/x
  3. Step 3: Cross multiply
    14,588.40x = 21,906.90 × 8,019.30
  4. Step 4: Simplify right side
    14,588.40x = 175,678,003.17
  5. Step 5: Solve for x
    x = 175,678,003.17/14,588.40
  6. Step 6: Final answer
    x = 12,042.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.