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Finding the Fourth Proportional to 16,141.46, 24,214.50 and 7,814.64

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Solution

The fourth proportional to 16,141.46, 24,214.50 and 7,814.64 is: 11,723.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,141.46 : 24,214.50 = 7,814.64 : x
  2. Step 2: Convert to fraction form
    16,141.46/24,214.50 = 7,814.64/x
  3. Step 3: Cross multiply
    16,141.46x = 24,214.50 × 7,814.64
  4. Step 4: Simplify right side
    16,141.46x = 189,227,600.28
  5. Step 5: Solve for x
    x = 189,227,600.28/16,141.46
  6. Step 6: Final answer
    x = 11,723.08

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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.