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Finding the Fourth Proportional to 14,142.70, 21,214.05 and 8,237.80

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Solution

The fourth proportional to 14,142.70, 21,214.05 and 8,237.80 is: 12,356.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,142.70 : 21,214.05 = 8,237.80 : x
  2. Step 2: Convert to fraction form
    14,142.70/21,214.05 = 8,237.80/x
  3. Step 3: Cross multiply
    14,142.70x = 21,214.05 × 8,237.80
  4. Step 4: Simplify right side
    14,142.70x = 174,757,101.09
  5. Step 5: Solve for x
    x = 174,757,101.09/14,142.70
  6. Step 6: Final answer
    x = 12,356.70

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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.