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Finding the Fourth Proportional to 16,829.10, 23,219.10 and 10,112.40

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Solution

The fourth proportional to 16,829.10, 23,219.10 and 10,112.40 is: 13,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,829.10 : 23,219.10 = 10,112.40 : x
  2. Step 2: Convert to fraction form
    16,829.10/23,219.10 = 10,112.40/x
  3. Step 3: Cross multiply
    16,829.10x = 23,219.10 × 10,112.40
  4. Step 4: Simplify right side
    16,829.10x = 234,800,826.84
  5. Step 5: Solve for x
    x = 234,800,826.84/16,829.10
  6. Step 6: Final answer
    x = 13,952.07

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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.