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Finding the Fourth Proportional to 22,814.94, 34,231.17 and 16,067.00

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Solution

The fourth proportional to 22,814.94, 34,231.17 and 16,067.00 is: 24,106.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,814.94 : 34,231.17 = 16,067.00 : x
  2. Step 2: Convert to fraction form
    22,814.94/34,231.17 = 16,067.00/x
  3. Step 3: Cross multiply
    22,814.94x = 34,231.17 × 16,067.00
  4. Step 4: Simplify right side
    22,814.94x = 549,992,259.91
  5. Step 5: Solve for x
    x = 549,992,259.91/22,814.94
  6. Step 6: Final answer
    x = 24,106.67

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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.