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Finding the Fourth Proportional to 19,814.46, 29,719.26 and 11,499

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Solution

The fourth proportional to 19,814.46, 29,719.26 and 11,499 is: 17,247.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.46 : 29,719.26 = 11,499 : x
  2. Step 2: Convert to fraction form
    19,814.46/29,719.26 = 11,499/x
  3. Step 3: Cross multiply
    19,814.46x = 29,719.26 × 11,499
  4. Step 4: Simplify right side
    19,814.46x = 341,741,770.74
  5. Step 5: Solve for x
    x = 341,741,770.74/19,814.46
  6. Step 6: Final answer
    x = 17,247.09

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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.