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Finding the Fourth Proportional to 19,814.62, 27,342.58 and 11,429.50

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Solution

The fourth proportional to 19,814.62, 27,342.58 and 11,429.50 is: 15,771.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,814.62 : 27,342.58 = 11,429.50 : x
  2. Step 2: Convert to fraction form
    19,814.62/27,342.58 = 11,429.50/x
  3. Step 3: Cross multiply
    19,814.62x = 27,342.58 × 11,429.50
  4. Step 4: Simplify right side
    19,814.62x = 312,512,018.11
  5. Step 5: Solve for x
    x = 312,512,018.11/19,814.62
  6. Step 6: Final answer
    x = 15,771.79

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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.