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Finding the Fourth Proportional to 14,131.59, 21,204.26 and 5,814.10

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Solution

The fourth proportional to 14,131.59, 21,204.26 and 5,814.10 is: 8,723.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,131.59 : 21,204.26 = 5,814.10 : x
  2. Step 2: Convert to fraction form
    14,131.59/21,204.26 = 5,814.10/x
  3. Step 3: Cross multiply
    14,131.59x = 21,204.26 × 5,814.10
  4. Step 4: Simplify right side
    14,131.59x = 123,283,688.07
  5. Step 5: Solve for x
    x = 123,283,688.07/14,131.59
  6. Step 6: Final answer
    x = 8,723.98

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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.