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Finding the Fourth Proportional to 16,213.94, 24,320.02 and 4,969.26

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Solution

The fourth proportional to 16,213.94, 24,320.02 and 4,969.26 is: 7,453.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,213.94 : 24,320.02 = 4,969.26 : x
  2. Step 2: Convert to fraction form
    16,213.94/24,320.02 = 4,969.26/x
  3. Step 3: Cross multiply
    16,213.94x = 24,320.02 × 4,969.26
  4. Step 4: Simplify right side
    16,213.94x = 120,852,502.59
  5. Step 5: Solve for x
    x = 120,852,502.59/16,213.94
  6. Step 6: Final answer
    x = 7,453.62

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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.