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Finding the Fourth Proportional to 23,969.10, 35,947.89 and 12,276.30

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Solution

The fourth proportional to 23,969.10, 35,947.89 and 12,276.30 is: 18,411.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,969.10 : 35,947.89 = 12,276.30 : x
  2. Step 2: Convert to fraction form
    23,969.10/35,947.89 = 12,276.30/x
  3. Step 3: Cross multiply
    23,969.10x = 35,947.89 × 12,276.30
  4. Step 4: Simplify right side
    23,969.10x = 441,307,082.01
  5. Step 5: Solve for x
    x = 441,307,082.01/23,969.10
  6. Step 6: Final answer
    x = 18,411.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.